Answer:
Part a) [tex]y=3.5x+20[/tex]
Part b) [tex]90\ in[/tex]
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
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
Find the slope m
[tex]m=(48-20)/(8-0)\\m=3.5\ in/year[/tex]
Find the value of b
[tex]b=20\ in[/tex] ----> the point (0,20) is the y-intercept
substitute
[tex]y=3.5x+20[/tex]
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
[tex]y=3.5(20)+20[/tex]
[tex]y=90\ in[/tex]
