Question

A plant is 15 inches tall and grows at a rate of 0. 5 inches per week. Write a function h that models the height of the plant, in inches, as it grows per week,

Answer 1

Answer:

h(x)=0.5x+15.

Explanation:

Given that the first differences remain constant, this function is linear. Thus, we can use y=mx+b.

'b' in this case is 15 inches, as that is the original height of the plant.

The slope (m) would be 0.5, such that time is the independent variable and height is the dependent variable (which should always be the case).

Using this information, we can create a function to model height:

h(x)=0.5x+15, where x represents each week.

Hope this helps!