SAT Math: Slope and Rate 01

Jasmine wants to know which one of her mugs can retain heat the best. She has two samples of hot coffee of equal mass at $104$ degrees Fahrenheit $\textdegree F$ . One sample is poured in Mug A, the other into Mug B. The mugs are left for 50 minutes to cool in a $60 \textdegree F$ room. The graph below shows the temperature of the coffee samples from each mug at 10 minute intervals.

Which of the following correctly compares the average rate at which the temperatures of the two samples change?

In every 10 minute interval, Mug B's rate of change is of greater magnitude than that of Mug A.

In every 10 minute interval, Mug A's rate of change is of greater magnitude than that of Mug B.

In the intervals from 0-10 minutes and from 10-20 minutes, Mug A's rates of change of temperature are of greater magnitude, whereas in the interval from 40-50, Mug B's rate of change of temperature is of greater magnitude.

In the intervals from 0-10 minutes and from 10-20 minutes, Mug B's rates of change of temperature are of greater magnitude, whereas in the interval from 40-50, Mug A's rate of change of temperature is of greater magnitude.

Which mug should Jasmine use to keep her beverages warmer over a long period of time?

Mug A

Mug B

Both will keep her beverages warm at the same rate

Not enough information to make a conclusion

A biologist estimates that a certain species of trees grow at a rate of 1.2 feet per year. According to the biologist's estimate, how long will it take, in months, for the trees to grow 21 feet?

Nicki can compose at least 4 songs per week and at most 7 songs per week. Based on this information, what is a possible amount of time, in weeks, that it could take for Nicki to compose 84 songs?

A partially filled hole at a construction site contains 450 gallons of concrete. A concrete mixer truck starts pouring concrete into the hole at the rate of 9 gallons per minute. How many gallons of concrete will be in the hole at 40 minutes?

The large span, an Egyptian unit of measurement is approximately equal to 26 cm. It is also equivalent to 14 smaller Egyptian units called fingers. Based on these relationships, 72 Egyptian fingers is equivalent to how many meters, to the nearest hundredth?

Note: Do not move on until the activity above has been completed and submitted.