The table shows the height of a plant as it grows. a. Model the data with an equation.
b. Based on your model, predict the height of the plant at 12 months.

a) Differences between x-values are constant (2), and differences between y-values are also constant (10), so the model can be a linear equation. It will have a slope of (10)/(2) = 5. We can use any of the table value pairs in the pont-slope form of the equation:

 y = 5(x -3) +15

or

 y = 5x

b) The model predicts the height at 12 months will be

 y = 5·12

 y = 60

We assume x represents months. The units for y are not given in this problem statement.