Question

5. Felicia is growing at a rate of 3.5 cm per month. She is currently 80 cm tall. At that rate, in how

many months will she be 122 cm tall?​

Answer 1

12 months

Explanation:

Let

x ----> the number of months

y ----> Felicia's height in centimeters

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the rate or slope

b is the y-coordinate of the y-intercept (initial value)

In this problem we have that

`m=3.5\ (cm)/(month)`

`b=80\ cm`

substitute

`y=3.5x+80`

In how many months will she be 122 cm tall?​

For y=122 cm

substitute the value of y in the linear equation and solve for x

`122=3.5x+80`

subtract 80 both sides

`3.5x=122-80`

`3.5x=42`

`x=12\ months`