Question

The table shows the relationship between time spent running and distance traveled.

A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 1, 2, 3, 4, 5. The second column is labeled distance (feet) with entries 530; 1,050; 1,600; 2,110; 2,650.
Which type of model best describes the relationship?

linear, because the r value for the linear model is closest to 1
exponential, because the r value for the exponential model is closest to 0
linear, because the rate of change between each pair of points is exactly 520
exponential, because the rate of change between each pair of points is 1.98

Answer 1

Linear — the distance increases by about the same amount each minute (differences: 520, 550, 510, 540), so a linear model fits. The exponential options are not supported by the data.