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ANSWERS

When Gianna initially placed the two cups in the refrigerator, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end behavior of the two functions implies that refrigerator A is set to a higher temperature than refrigerator B.

EXPLANATION

The graph shows the temperature in refrigerator A. It is said that the temperature of refrigerator B is an exponential function, with a y-intercept of 96 and it approaches 38 as x increases. Let's sketch a graph of function B,

At x = 0, which is when Gianna put the two cups in the refrigerators, the temperature of the cup in refrigerator A was 110°F, while the temperature of the cup in refrigerator B was 96°F. Hence, the liquid in refrigerator A was warmer than the liquid in refrigerator B.

After many minutes, for example, 1 hour, the liquid placed in refrigerator A would be at a temperature of 40°F, while the liquid placed in refrigerator B would be at 38°F. This end behavior implies that the temperature of refrigerator A is set to a higher temperature than refrigerator B.

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