Question

H(x) =2x+3 James brought a plant that was 3 inches tall. Each week the plant grew 2 inches. The function h(x) = 2x + 3 describes the height of the plant after x weeks. Which is the reasonable domain for this function?

Answer 1

For 6 weeks, the height will be 15 inches

Explanation:

Step one:

given data

the initial height of plant= 3inches

growth in inches per week =2inches per wee

Step two:

for x number of weeks, the height is expressed as

`h(x) = 2x + 3`

With the given growth function, we can estimate the height of the plant after any number of weeks, say x=6, that is 6 weeks, the height will be

substitute x=6 in the growth function

`h(x) = 2(6)+ 3\\\\h(x) = 12 + 3\\\\h(x) = 15 inches`