Maths-
SAT
Easy
Question
Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is y = 3.39x + 46.89, where x is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.
US Production of Plastic
Which of the following is closest to the percent increase in the billions of pounds of plastic produced in the United States from 2000 to 2003?
- 10%
- 44%
- 77%
- 110%
The correct answer is: 10%
y = 3.39x + 46.89, where x is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.
In 2000, the amount of plastic produced is,
y = 3.39(15) + 46.89 [15 is the number of years between 1985 to 2000]
y = 97.94
In 2003, the amount of plastic produced is
y = 3.39(18) + 46.89 [18 is the number of years between 1985 to 20003]
y = 107.91
Percentage increase between 2000 and 2003 = [{107.91 – 97.94/97.94} × 100]
= 10.2%, which is closest to option A
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Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is y = 3.39x + 46.89, where x is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.
US Production of Plastic
Which of the following is the best interpretation of the number 3.39 in the context of the problem?
Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is y = 3.39x + 46.89, where x is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.
US Production of Plastic
Which of the following is the best interpretation of the number 3.39 in the context of the problem?
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Tracy collects, sells, and trades figurines, and she tracks the number of figurines in her collection on the graph below.
On what interval did the number of figurines decrease the fastest?
Tracy collects, sells, and trades figurines, and she tracks the number of figurines in her collection on the graph below.
On what interval did the number of figurines decrease the fastest?
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The range of the polynomial function f is the set of real numbers less than or equal to 4. If the zeros of f are −3 and 1, which of the following could be the graph of y = f (x) in the xy-plane?
The range of the polynomial function f is the set of real numbers less than or equal to 4. If the zeros of f are −3 and 1, which of the following could be the graph of y = f (x) in the xy-plane?
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The figure below shows the relationship between the percent of leaf litter mass remaining after decomposing for 3 years and the mean annual temperature, in degrees Celsius (°C), in 18 forests in Canada. A line of best fit is also shown.
A particular forest in Canada, whose data is not included in the figure, had a mean annual temperature of −2°C. Based on the line of best fit, which of the following is closest to the predicted percent of leaf litter mass remaining in this particular forest after decomposing for 3 years?
The figure below shows the relationship between the percent of leaf litter mass remaining after decomposing for 3 years and the mean annual temperature, in degrees Celsius (°C), in 18 forests in Canada. A line of best fit is also shown.
A particular forest in Canada, whose data is not included in the figure, had a mean annual temperature of −2°C. Based on the line of best fit, which of the following is closest to the predicted percent of leaf litter mass remaining in this particular forest after decomposing for 3 years?
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Ages of 20 Students Enrolled in a College Class
|
Age |
Frequency |
|
18 |
6 |
|
19 |
5 |
|
20 |
4 |
|
21 |
2 |
|
22 |
1 |
|
23 |
1 |
|
30 |
1 |
Ages of 20 Students Enrolled in a College Class
|
Age |
Frequency |
|
18 |
6 |
|
19 |
5 |
|
20 |
4 |
|
21 |
2 |
|
22 |
1 |
|
23 |
1 |
|
30 |
1 |
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Number of Adults Contracting Colds
|
|
Cold |
No cold |
Total |
|
Vitamin C |
21 |
129 |
150 |
|
Sugar pill |
33 |
117 |
150 |
|
Total |
54 |
246 |
300 |
Number of Adults Contracting Colds
|
|
Cold |
No cold |
Total |
|
Vitamin C |
21 |
129 |
150 |
|
Sugar pill |
33 |
117 |
150 |
|
Total |
54 |
246 |
300 |
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Volume 
The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces.
Water pours into the glass slowly and at a constant rate. Which of the following graphs best illustrates the height of the water level in the glass as it fills?
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The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces.
Water pours into the glass slowly and at a constant rate. Which of the following graphs best illustrates the height of the water level in the glass as it fills?
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work on this lab project?
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work on this lab project?
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If f (x) = x2 − 4x + 10 and c is a positive integer less than 5, what is one possible value of f (c) ?
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A researcher surveyed 200 adults selected at random from the city of Aldley and 300 adults selected at random from the suburbs of Aldley. Each person surveyed was asked whether he or she owns a car. Some of the results are shown in the partially completed table below.
The researcher found that an adult surveyed in the suburbs of Aldley is twice as likely to own a car as an adult surveyed in the city of Aldley. Of the following, which could be the value of x?
A researcher surveyed 200 adults selected at random from the city of Aldley and 300 adults selected at random from the suburbs of Aldley. Each person surveyed was asked whether he or she owns a car. Some of the results are shown in the partially completed table below.
The researcher found that an adult surveyed in the suburbs of Aldley is twice as likely to own a car as an adult surveyed in the city of Aldley. Of the following, which could be the value of x?
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|5-x| = 4
The value of one solution to the equation above is 1. What is the value of the other solution?
|5-x| = 4
The value of one solution to the equation above is 1. What is the value of the other solution?
maths-sat
