Question

the table represents the temperature of a cup of coffee over time. which model best represents the data set? temperature of a cup of coffee time (minutes) temperature (degrees fahrenheit) 0 200 10 180 20 163 30 146 40 131 50 118 60 107 exponential, because there is a relatively consistent multiplicative rate of change linear because there is a relatively consistent multiplicative rate of change linear, because there is a relatively consistent additive rate of change exponential, because there is a relatively consistent additive rate of change

Explanation:

Step1: Check additive rate of change

$180 - 200=- 20$, $163 - 180=-17$, not consistent.

Step2: Check multiplicative rate of change

$\frac{180}{200}=0.9$, $\frac{163}{180}\approx0.906$, $\frac{146}{163}\approx0.896$, relatively consistent. So it's exponential.

Answer:

exponential, because there is a relatively consistent multiplicative rate of change