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Problem Solving And Data Analysis · Data Interpretation Tables Graphs

SAT Data Interpretation Tables Graphs Practice Questions (Free + Explanations) | Quiz 4

Question 12345 of 5

Question 1 of 5

A city transit report shows that 120 buses were on time in March. This was 80% of all buses scheduled in March. How many buses were scheduled in March?

Explanation

If 120 buses were 80% of the total, then the total number of scheduled buses can be found by dividing by 0.80: . So, 150 buses were scheduled in March.

Concept summary

When a part and its percent of the whole are given, divide the part by the decimal form of the percent to find the whole.

Question 2 of 5

A table shows the cost of buying bags of trail mix at a store.

Assuming the cost is proportional to the number of bags, which equation gives the total cost in dollars for bags of trail mix?

Explanation

Because the cost is proportional to the number of bags, the relationship has the form , where is the cost per bag. Using the table, divide total cost by number of bags: . Checking with the other row, , so the unit rate is consistent. Therefore, the equation is .

Concept summary

For a proportional relationship, write the equation as , where is the constant of proportionality found by dividing the output by the input.

Question 3 of 5

A small business recorded its weekly online sales in the table below.

If the sales continue to increase at the same rate, which expression gives the sales in week ?

Explanation

The sales increase by each week because , , and . Since week 1 has sales of , the expression should start at and then add for each week after week 1. That is . Checking: for week 1, ; for week 2, . So the correct expression is .

Concept summary

For a table with a constant increase, an equivalent expression can be written as initial value plus rate times the number of intervals since the starting point: .

Question 4 of 5

A taxi company charges riders based on the number of miles traveled. The table shows the total fare for several trips.

If this pattern continues, what will be the total fare, in dollars, for a trip of 14 miles?

Explanation

From the table, every time the number of miles increases by 3, the total fare increases by 6 dollars. That means the fare increases by dollars per mile. From 11 miles to 14 miles is another increase of 3 miles, so add 6 dollars to the fare at 11 miles: . Therefore, the total fare for 14 miles is .

Concept summary

Use a table to identify a constant rate of change, then extend the pattern to find a missing value.

Question 5 of 5

A researcher recorded the number of hours 4 students studied for a test and their test scores, as shown in the table.

Assuming the relationship between hours studied and test score is linear, what test score would be predicted for a student who studied for 6 hours?

Explanation

The data show a constant rate of change, so a linear model is reasonable. From 2 to 3 hours, the score increases from 68 to 74, which is an increase of 6 points for 1 hour. From 3 to 5 hours, the score increases by 12 points over 2 hours, which is also 6 points per hour. From 5 to 7 hours, the score increases by 12 points over 2 hours, again 6 points per hour. So the slope is 6 points per hour. A student who studied 6 hours studied 1 more hour than a student who studied 5 hours, whose score was 86. Add 6 points: . Therefore, the predicted score is 92.

Concept summary

For linear data in a table, find the constant rate of change and use it to predict missing values.

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