SAT question 83272c51 (Two-variable Data Models And Scatterplots)

Question

In an experiment, a heated cup of coffee is removed from a heat source, and the cup of coffee is then left in a room that is kept at a constant temperature. The graph above shows the temperature, in degrees Fahrenheit (°F), of the coffee immediately after being removed from the heat source and at $10$ -minute intervals thereafter. During which of the following $10$ -minute intervals does the temperature of the coffee decrease at the greatest average rate?

32

Difficulty:Easy

A

Between $0$ and $10$ minutes

B

Between $30$ and $40$ minutes

C

Between $50$ and $60$ minutes

D

Between $90$ and $100$ minutes

College Board · Accepted Answer

The correct answer is A. Choice A is correct. The average rate of change in temperature of the coffee in degrees Fahrenheit per minute is calculated by dividing the difference between two recorded temperatures by the number of minutes in the corresponding interval of time. Since the time intervals given are all 10 minutes, the average rate of change is greatest for the points with the greatest difference in temperature. Of the choices, the greatest difference in temperature occurs between 0 and 10 minutes.

CookSAT · Answer

Note: Compare the four average rates of change; the most negative is the greatest decrease.

Explanation

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Why the other choices are wrong

SAT Question 83272c51: Two-variable Data Models And Scatterplots answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong