Question

Aria bought a plant and planted it in a pot near a window in her house. As the plant grows, its height, in inches, can be modeled by the function H(t)=4t+16,H(t)=4t+16, where tt is the number of months since Aria bought the plant. What is the slope of the function and what is its interpretation in the context of the problem?

Answer 1

Answer with explanation:

Linear function : y=mx+C , where x= independent variable, y = dependent variable and m is the slope of function.

it tells that the rate of change of y with respect to x is m.

Given : Aria bought a plant and planted it in a pot near a window in her house.

As the plant grows, its height, in inches, can be modeled by the function

`H(t)=4t+16` , where t is the number of months since Aria bought the plant.

here, t= independent variable

H(t)= dependent variable

Comparing this to the general linear function , we conclude that m= 4

i.e. slope of the function = 4

Interpretation : The rate of change of height of the plant = 4 inches per month.