the table represents the temperature of a cup of coffee over time. temperature of a cup of coffee\n| time…

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

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

Answer

Answer:

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

Explanation:

Step1: Check additive rate

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

Step2: Check multiplicative rate

$\frac{180}{200}=0.9$, $\frac{163}{180}\approx0.906$, $\frac{146}{163}\approx0.896$, $\frac{131}{146}\approx0.897$, $\frac{118}{131}\approx0.901$, $\frac{107}{118}\approx0.907$. Relatively consistent multiplicative rate, so exponential model.