5. Felicia is growing at a rate of 3.5 cm per month. She is currently 80 cm tall. At that rate, in howmany months will she be 122 cm tall?​

Accepted Solution

Answer:12 monthsStep-by-step explanation:Letx ----> the number of monthsy ----> Felicia's height in centimeterswe know thatThe linear equation in slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the rate or slopeb is the y-coordinate of the y-intercept (initial value)In this problem we have that[tex]m=3.5\ \frac{cm}{month}[/tex][tex]b=80\ cm[/tex]substitute[tex]y=3.5x+80[/tex]In how  many months will she be 122 cm tall?​For y=122 cmsubstitute the value of y in the linear equation and solve for x[tex]122=3.5x+80[/tex]subtract 80 both sides[tex]3.5x=122-80[/tex][tex]3.5x=42[/tex][tex]x=12\ months[/tex]