Question

1. the temperature of a mug of hot chocolate, t minutes after it is prepared, is given by the function h, where h(t) is measured in degrees fahrenheit. a table of values is given for h.

t(minutes)	0	2	5	10	13	20

a. find h(13) and interpret this value in the context of this problem.

b. for what value of t is h(t) = 107? interpret this value in the context of this problem.

Explanation:

Step1: Find \( H(13) \)

From the table, when \( t = 13 \), \( H(t)=77 \). This means that 13 minutes after the mug of hot chocolate is prepared, the temperature of the hot - chocolate is 77 degrees Fahrenheit.

Step2: Find \( t \) when \( H(t)=107 \)

From the table, when \( H(t) = 107 \), \( t = 5 \). This means that 5 minutes after the mug of hot chocolate is prepared, the temperature of the hot - chocolate is 107 degrees Fahrenheit.

Answer:

a. \( H(13)=77 \). Interpretation: 13 minutes after the mug of hot chocolate is prepared, its temperature is 77 degrees Fahrenheit.
b. \( t = 5 \). Interpretation: 5 minutes after the mug of hot chocolate is prepared, its temperature is 107 degrees Fahrenheit.