Mathematics
Grand-Tests
Easy

Question

The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)t, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

  1. The increase in the number of employees each year
  2. The number of years the business has been open
  3. The number of employees when the business opened
  4. The percent increase in the number of employees each year

The correct answer is: The number of employees when the business opened


    According to exponential formula
    Y = a(b) x
    Where a = initial value
    Hence option (c).

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    Which quadratic equation has exactly one distinct real solution?

    One solution occurs when
    b2 = 4ac = 0.
    The only option that asrees to this is option (D).

    Which quadratic equation has exactly one distinct real solution?

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    One solution occurs when
    b2 = 4ac = 0.
    The only option that asrees to this is option (D).
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    Which of the following linear equations has no solution?

    No solution occurs when:
    Xa1 + b1 = xa2 + b2
    Where a1 = a2 and b1  b2
    The only option that conforms to this is option (C).

    Which of the following linear equations has no solution?

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    No solution occurs when:
    Xa1 + b1 = xa2 + b2
    Where a1 = a2 and b1  b2
    The only option that conforms to this is option (C).
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    x is 63% of y. If x > 0, which expression represents y in terms of x ?

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x equals 63 over 100 cross times y end cell row cell y equals 100 over 62 cross times x end cell end table
    Option (B)

    x is 63% of y. If x > 0, which expression represents y in terms of x ?

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    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x equals 63 over 100 cross times y end cell row cell y equals 100 over 62 cross times x end cell end table
    Option (B)
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    If 5(x - 8) + 3(x - 8) = 80, what is the value of X - 8 ?

    8(x – 8) = 80
    (x – 8) = 10
    Option (D)

    If 5(x - 8) + 3(x - 8) = 80, what is the value of X - 8 ?

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    8(x – 8) = 80
    (x – 8) = 10
    Option (D)
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    The graph shows the predicted value V(n) of a truck, in dollars, with respect to the time n, in years, since the truck was purchased.

    Which function best describes the predicted value of the truck, in dollars, as a function of n ?

    On substitution option (A)

    The graph shows the predicted value V(n) of a truck, in dollars, with respect to the time n, in years, since the truck was purchased.

    Which function best describes the predicted value of the truck, in dollars, as a function of n ?

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    On substitution option (A)
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    Which of the following expressions gives the length, in meters, of top enclose A B end enclose  for triangle ABC shown?

    According to Pythagoras theorem.
    Option (D)


    Which of the following expressions gives the length, in meters, of top enclose A B end enclose  for triangle ABC shown?

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    According to Pythagoras theorem.
    Option (D)
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    The histogram summarizes the distribution of the total annual precipitation, in inches, for the city of Seattle for 68 years. The first bar shows the number of years with total annual precipitation of at least 20 inches but less than 25 inches, the second bar shows the number of years with total annual precipitation of at least 25 inches but less than 30 inches, and so on.

    How many years had at least 50 inches of total annual precipitation?

    From graph, option (A)

    The histogram summarizes the distribution of the total annual precipitation, in inches, for the city of Seattle for 68 years. The first bar shows the number of years with total annual precipitation of at least 20 inches but less than 25 inches, the second bar shows the number of years with total annual precipitation of at least 25 inches but less than 30 inches, and so on.

    How many years had at least 50 inches of total annual precipitation?

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    From graph, option (A)
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    For a study, a botanist grew seedlings in two separate groups. The ratio of the number of seedlings in group A to the number of seedlings in group B is 1 to 2. If a total of 300 seedlings were used in the study, how many were in group B?

    3x = 300
    X = 100
    2x = 200
    Option (D)

    For a study, a botanist grew seedlings in two separate groups. The ratio of the number of seedlings in group A to the number of seedlings in group B is 1 to 2. If a total of 300 seedlings were used in the study, how many were in group B?

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    3x = 300
    X = 100
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    Option (D)
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    The scatterplot shows the relationship between two variables, x and y. Which equation is the most appropriate quadratic model for the data shown?

    When substituted with vertex coordinates, only (C) words true
    therefore option (C)


    The scatterplot shows the relationship between two variables, x and y. Which equation is the most appropriate quadratic model for the data shown?

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    When substituted with vertex coordinates, only (C) words true
    therefore option (C)
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    Which of the following is closest to the percent increase in Puerto Rico's population from 1965 to 1970?

    fraction numerator 0.1 over denominator 2.6 end fraction equals 0.038 almost equal to 0.04
    = 4%
    Hence option (A)

    Which of the following is closest to the percent increase in Puerto Rico's population from 1965 to 1970?

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    fraction numerator 0.1 over denominator 2.6 end fraction equals 0.038 almost equal to 0.04
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    Questions 12 and 13 refer to the following information.

    The scatterplot shows the relationship between the number of years, n, after 1955 and the population of Puerto Rico P, in millions. A line of best fit for the data is also shown.
    Which of the following is the closest to the predicted population of Puerto Rico, in millions, in 1955?

    From graph, option (A)

    Questions 12 and 13 refer to the following information.

    The scatterplot shows the relationship between the number of years, n, after 1955 and the population of Puerto Rico P, in millions. A line of best fit for the data is also shown.
    Which of the following is the closest to the predicted population of Puerto Rico, in millions, in 1955?

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    From graph, option (A)
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    The function his defined by h left parenthesis x right parenthesis equals 2 over 3 x plus 4 . For what value of x does h(x) = - 3 ?

    On substitution,
    negative 3 equals 2 over 3 x plus 4
x equals fraction numerator negative 21 over denominator 2 end fraction
    Option (c)

    The function his defined by h left parenthesis x right parenthesis equals 2 over 3 x plus 4 . For what value of x does h(x) = - 3 ?

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    On substitution,
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x equals fraction numerator negative 21 over denominator 2 end fraction
    Option (c)
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    A linear model estimates that a cat's weight was 4 ounces when it was born and 76 ounces 150 days after it was born. Which function defines this model where f(x) is the cat's weight, in ounces, x days after it was born, for 0 less or equal than x less or equal than 150 ?

    y intercept = 4
    On substituting and verifying
    Answer = option (C)

    A linear model estimates that a cat's weight was 4 ounces when it was born and 76 ounces 150 days after it was born. Which function defines this model where f(x) is the cat's weight, in ounces, x days after it was born, for 0 less or equal than x less or equal than 150 ?

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    y intercept = 4
    On substituting and verifying
    Answer = option (C)
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    Five students each combined 500 milliliters (mL) of water with 500 mL of cooking oil and measured the volume of the combination. Their results are shown in the table.

    What is the mean, in mL, of the combined volumes listed in the table?

    By using formula
    Mean = 999
    therefore option (B)

    Five students each combined 500 milliliters (mL) of water with 500 mL of cooking oil and measured the volume of the combination. Their results are shown in the table.

    What is the mean, in mL, of the combined volumes listed in the table?

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    The equation 5D - R = 40 gives the relationship between the dew point D, in degrees Celsius (° C), and relative humidity R, as a percent, when the air temperature is 28° C. At that temperature, what is the relative humidity, as a percent, when the dew point is 14° C?

    On substitution in equation, option (A).

    The equation 5D - R = 40 gives the relationship between the dew point D, in degrees Celsius (° C), and relative humidity R, as a percent, when the air temperature is 28° C. At that temperature, what is the relative humidity, as a percent, when the dew point is 14° C?

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    On substitution in equation, option (A).
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