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The table represents the temperature of a cup of coffee over time. A 2-column table with 7 rows. The first column is labeled time (minutes) with entries 0, 10, 20, 30, 40, 50, 60. The second column is labeled temperature (degrees Fahrenheit) with entries 200, 180, 163, 146, 131, 118, 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

Step-by-step explanation:

Considering the given table, the model that best represents the data set is:

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

When to use a linear model and when to use an exponential model?

  • If the rate of change is additive, that is, the difference between consecutive terms is the same, a linear model is used.
  • If the rate of change is multiplicative, that is, the quotient between consecutive terms is the same, an exponential model is used.

In this problem, we have that the quotients are approximately the same, that is:

[tex]\frac{180}{200} \approx \frac{163}{180} \approx \cdots \approx \frac{107}{118}[/tex]

Hence the correct option is:

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

More can be learned about exponential functions at https://brainly.com/question/25537936

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