Question

you were 20 inches tall at birth, and 48 inches tall on your 8th birthday. Create a linear equation to represent this equation. According to your equation, how tall will you be at age 20?

Answer 1

Answer:

Part a) $y=3.5x+20$

Part b) $90\ in$

Step-by-step explanation:

Part a) Create a linear equation to represent this situation

Let

x -----> the number of years

y ----> the height in inches

we have the points

(020) ----> at birth the height was 20 inches

(8,48) ---> 8th birthday the height was 48 inches

step 1

Find the linear equation in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

Find the slope m

$m=(48-20)/(8-0)\\m=3.5\ in/year$

Find the value of b

$b=20\ in$ ----> the point (0,20) is the y-intercept

substitute

$y=3.5x+20$

Part b) According to your equation, how tall will you be at age 20?

For x=20 years

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

$y=3.5(20)+20$

$y=90\ in$