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Problem Solving And Data Analysis · Data Interpretation Tables Graphs

SAT Data Interpretation Tables Graphs Practice Questions (Free + Explanations) | Quiz 3

Question 12345 of 5

Question 1 of 5

A science club measured the temperature of a liquid every minute as it cooled. The table shows the data.

If the relationship between time and temperature is linear, which expression gives the temperature, in degrees Celsius, of the liquid minutes after the measurements began?

Explanation

The temperature drops from 80 to 74 to 68 to 62, so it decreases by 6°C each minute. A linear expression has the form initial value ratetime. The initial temperature at is 80, and the rate of change is because the temperature is going down. Therefore, the expression is .

Concept summary

For a linear relationship in a table, identify the starting value and the constant rate of change, then write an expression in the form initial value rateinput.

Question 2 of 5

A graph shows the relationship between the number of hours a student studies and the total number of practice questions completed. The graph includes the point . If the relationship is proportional, which point must also be on the graph?

Explanation

Because the relationship is proportional, the ratio of practice questions to hours studied must stay constant. From the point , the unit rate is questions per hour. A point on the graph must satisfy . For choice A, when , , so must be on the graph.

Concept summary

In a proportional relationship, the ratio is constant, so any point on the graph must have the same unit rate.

Question 3 of 5

A delivery company charges a fixed service fee plus a cost per package. The table shows the total charge for different numbers of packages shipped.

| Packages shipped | Total charge (dollars) |
|---|---|
| 2 | 11 |
| 5 | 20 |

If the same pricing rule applies, what would be the total charge, in dollars, for shipping 8 packages?

Explanation

Let the total charge be , where is the cost per package and is the fixed service fee. From the table, increasing the number of packages from 2 to 5 adds 3 packages, and the total charge increases from 11 to 20, which is dollars. So the cost per package is dollars.

Now use the row with 2 packages: . This gives , so .

For 8 packages, the total charge is . So the correct answer is .

Concept summary

When a situation has a fixed amount plus a constant rate, data from a table can be modeled with a linear equation. Find the rate from the change in values, then use one row to find the fixed amount.

Question 4 of 5

A biologist recorded the number of fish in a pond at the end of each month, as shown in the table.

If the pattern continues, what will be the number of fish in month 6?

Explanation

The number of fish increases by each month: , , and . Continuing the pattern, month 5 has fish, and month 6 has fish. Therefore, the correct answer is .

Concept summary

To interpret a table with a pattern, look for how the values change from row to row and continue that same change to the requested point.

Question 5 of 5

A park map includes the table below showing the areas of three rectangular flower beds.

If all three flower beds have the same width, what is that width, in feet?

Explanation

For a rectangle, . So . Using any row from the table, for example Flower Bed 1: . Checking the others: and . The common width is feet.

Concept summary

To interpret a table in a measurement setting, identify the relationship between the quantities. For rectangles, divide area by length to find width.

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