Answer:
[tex]a=21w+50[/tex]
Step-by-step explanation:
Let
y ----> the amount of money
x ---> the number of weeks
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept or initial value
In this problem we have
The slope is equal to
[tex]m=(35-14)=\$21\ per\ week[/tex]
The y-intercept is equal to
[tex]b=\$50[/tex]
substitute
[tex]y=21x+50[/tex]
therefore
For x=w weeks
The function is
[tex]a=21w+50[/tex]
