Maths-
General
Easy

Question

In air, the speed of sound S, in meters per second, is a linear function of the air temperature T, in degrees Celsius, and is given by S(T)  = 0.6T + 331.4. Which of the following statements is the best interpretation of the number 331.4 in this context?

  1. The speed of sound, in meters per second, at 0°C 
  2. The speed of sound, in meters per second, at 0.6°C 
  3. The increase in the speed of sound, in meters per second, that corresponds to an increase of 1°C 
  4. The increase in the speed of sound, in meters per second, that corresponds to an increase of 0.6°C

The correct answer is: The speed of sound, in meters per second, at 0°C


    Solution:-
    Given :- Speed of sound= S m/s
    Temperature = T °C
    S(T) = 0.6T + 331.4
    We can compare this equation with the equation of straight line y= mx + c.
    And T represents x-axis
    We get y-intercept, c= 331.4, when x= 0
    Similarly , we will get S(T)= 331.4 when T=0
    Therefore, the speed of sound in meters per second at 0°C will be 331.4 m/s
    So, correct answer is Option A.

    Related Questions to study

    General
    Maths-

    Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?

    Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?

    Maths-General
    General
    Maths-


    The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.
    Townsend Realty purchased the Glenview Street property and received a 40% discount off the original price along with an additional 20% off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?


    The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.
    Townsend Realty purchased the Glenview Street property and received a 40% discount off the original price along with an additional 20% off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?

    Maths-General
    General
    Maths-


    The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.
    The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?


    The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.
    The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?

    Maths-General
    parallel
    General
    Maths-


    In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one
    of the surgeons is selected at random, which of the following is closest to the probability that the selected surgeon is an orthopedic surgeon whose indicated
    professional activity is research?


    In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one
    of the surgeons is selected at random, which of the following is closest to the probability that the selected surgeon is an orthopedic surgeon whose indicated
    professional activity is research?

    Maths-General
    General
    Maths-

    1 half left parenthesis 2 x plus y right parenthesis equals 21 over 2
    y equals 2 x
    The system of equations above has solution (x, y). What is the value of x ?

    1 half left parenthesis 2 x plus y right parenthesis equals 21 over 2
    y equals 2 x
    The system of equations above has solution (x, y). What is the value of x ?

    Maths-General
    General
    Maths-

    In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?

    In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?

    Maths-General
    parallel
    General
    Maths-

    Which of the following is equivalent to the sum of the expressions a2 - 1 and a + 1 ?

    Which of the following is equivalent to the sum of the expressions a2 - 1 and a + 1 ?

    Maths-General
    General
    Maths-

    Horsepower and watts are units of measure of power. They are directly proportional such that 5 horsepower is equal to 3730 watts. How much power, in watts, is equal to 2 horsepower?

    Horsepower and watts are units of measure of power. They are directly proportional such that 5 horsepower is equal to 3730 watts. How much power, in watts, is equal to 2 horsepower?

    Maths-General
    General
    Maths-

    2(p + 1) + 8(p - 1) = 5p
    What value of p is the solution of the equation above?

    2(p + 1) + 8(p - 1) = 5p
    What value of p is the solution of the equation above?

    Maths-General
    parallel
    General
    Maths-

    fraction numerator a minus b over denominator a end fraction equals c
    In the equation above, if a is negative and b is positive, which of the following must be true?

    fraction numerator a minus b over denominator a end fraction equals c
    In the equation above, if a is negative and b is positive, which of the following must be true?

    Maths-General
    General
    Maths-

    square root of k plus 2 end root minus x equals 0
    In the equation above, k is a constant. If x = 9, what is the value of K ?

    square root of k plus 2 end root minus x equals 0
    In the equation above, k is a constant. If x = 9, what is the value of K ?

    Maths-General
    General
    Maths-

    square root of x plus 28 end root minus 2 square root of x plus 1 end root equals 0
    What value of x satisfies the equation above?

    Note:
    Whenever we encounter a square root while solving an equation, our first attempt should be to somehow remove the square root by squaring both sides and get a simpler equation to solve. Another way to find the value of x which satisfies the equation would be to simply put the values in the options in the equation and check if it is satisfied

    square root of x plus 28 end root minus 2 square root of x plus 1 end root equals 0
    What value of x satisfies the equation above?

    Maths-General

    Note:
    Whenever we encounter a square root while solving an equation, our first attempt should be to somehow remove the square root by squaring both sides and get a simpler equation to solve. Another way to find the value of x which satisfies the equation would be to simply put the values in the options in the equation and check if it is satisfied

    parallel
    General
    Maths-

    y ≤3x +1
    x – y  >1
    Which of the following ordered pairs ( x, y)satisfies the system of inequalities above?

    y ≤3x +1
    x – y  >1
    Which of the following ordered pairs ( x, y)satisfies the system of inequalities above?

    Maths-General
    General
    Maths-

    The painting The Starry Night by Vincent van Gogh is rectangular in shape with height 29 inches and width 36.25 inches. If a reproduction was made where each dimension is 1 third the corresponding original dimension, what is the height of the reproduction, in inches ?

    The painting The Starry Night by Vincent van Gogh is rectangular in shape with height 29 inches and width 36.25 inches. If a reproduction was made where each dimension is 1 third the corresponding original dimension, what is the height of the reproduction, in inches ?

    Maths-General
    General
    Maths-

    Which of the following is an example of a function whose graph in the xy-plane has no x-intercepts?

    Which of the following is an example of a function whose graph in the xy-plane has no x-intercepts?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.