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Problem Solving And Data Analysis · Data Interpretation Tables Graphs

SAT Data Interpretation Tables Graphs Practice Questions (Free + Explanations) | Quiz 5

Question 12345 of 5

Question 1 of 5

A biologist recorded the average mass, in grams, of a sample of fish in a pond at the end of each year.

If the pattern in the table continues, which statement must be true?

Explanation

From the table, the average mass increases by grams each year: , , and . So the data follow a linear pattern with a constant increase of grams per year. Continuing the pattern gives year 5 as and year 6 as . Therefore, the statement that must be true is that the average mass in year 6 will be grams.

Concept summary

When a table shows a constant difference between consecutive values, it represents a linear pattern. A constant difference does not mean a constant percent increase.

Question 2 of 5

A city park is designing a rectangular flower bed with an area of 96 square feet. The graph below shows possible combinations of length and width for the flower bed, where . According to the graph, which value is closest to the width of the flower bed when the length is 15 feet?

Explanation

For a rectangle, area length width. The graph represents all pairs such that

When the length is 15 feet, substitute into the equation:

So the width is closest to 6.4 feet.

Concept summary

In a measurement context, a graph or equation can represent all dimension pairs for a fixed area. To find one dimension, divide the area by the other dimension.

Question 3 of 5

A city parks department recorded the number of visitors to a park and the amount collected from parking fees on 4 Saturdays. The table shows the results.

If this relationship continues, which equation best models the amount collected from parking fees, in dollars, as a function of the number of visitors ?

Explanation

The correct answer is . To find a model, compare the parking fees to the number of visitors in the table. For example, when , the fees collected are , and . Check another row: when , . The same ratio appears in the other rows as well, so the amount collected is always 3 times the number of visitors. Therefore, the equation that models the relationship is .

Concept summary

When data in a table show the same ratio for each pair, the relationship is proportional and can be modeled by an equation of the form .

Question 4 of 5

A streaming service recorded the number of subscribers at the end of each month, as shown in the table.

If the relationship between month number and number of subscribers is linear, which expression represents the number of subscribers in month ?

Explanation

From the table, when the month increases from 1 to 3, the number of subscribers increases from 420 to 500, which is an increase of 80 over 2 months. So the rate of change is subscribers per month. That means the linear expression has the form . Using the point , substitute to find : , so . Therefore, the expression is .

Concept summary

To write a linear expression from a table, first find the constant rate of change, then use one data point to determine the initial value.

Question 5 of 5

A graph shows the relationship between the number of miles a cyclist rides and the total calories burned. The line passes through the points and . If this relationship is linear, which equation represents the graph, where is the number of miles and is the total calories burned?

Explanation

First find the slope of the line using the two given points:

So the equation has the form . Substitute one of the points, such as :

Therefore, . The equation is

which matches choice A.

Concept summary

To write an equation from a graph or two points, first find the slope from the rate of change, then use one point to solve for the -intercept in .

Your results

0of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

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Your results

1of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

2of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

3of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

4of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

5of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice