Answer:
see the explanation
Step-by-step explanation:
we know that
A linear function in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have a linear function between the total cost and the number of miles
Let
y ----> the total cost in dollars
x ----> the number of miles
The slope or unit rate is equal to
[tex]m=\frac{0.50}{1.5}=\$0.33\ per\ mile[/tex]
The y-intercept is equal to the flat fee
[tex]b=\$2.50[/tex]
substitute the given values
The linear function that model the situation is
[tex]y=0.33x+2.50[/tex]
