Question

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 1

Answer:

a

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step explanation:

1. Organizing the table

$t (time \:minutes)|Temperature (F)\\0|200\\10|180\\20|163\\30|146\\40|131\\50|118\\60|107$

2. Looking at the y column, (Temperature) we can notice a consistent decreasing of -17 Fahrenheit degrees.

3. Choosing two points, then finding the slope, and the function:

$m=\frac{y_2-y_1}{x_2-x_1} \therefore m=\frac{180-200}{10-0} \rightarrow m=\frac{-20}{10} \rightarrow m=-2\\\\180=-2(10)+b \therefore b=200\\f(x)=-2x+200$

3. Plotting the function