A lawn fertilizer company is working on different formulas for lawn fertilizer. They want to examine the difference between their “Original Formula” and their “Improved Formula”.
The table below shows the height of different lawns, in millimeters, using the various fertilizer formulas.
The model for each lawn is shown in the table below.
Lawn Fertilizer Model
A (Control Group) f(x)=7x+6
B (Original Formula) f(x)=1.5x2+5.5x+11
C (Improved Formula) f(x)=9⋅2x
Use the model to estimate the height of the lawn after 10 weeks.
If you were the lawn fertilizer company, which formula would you choose? Why?