Answer:
see the explanation
Explanation:
we know that
A linear function in slope intercept form is equal to
![y=mx+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yj5waqmoy4i54laybzhhshd88hyo5w5rj5.png)
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
![m=(0.50)/(1.5)=\$0.33\ per\ mile](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cryqoshpa0rdovlpc5p4991rslfh8ng9u3.png)
The y-intercept is equal to the flat fee
![b=\$2.50](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fkeqw0xbzo6gfmaileh2zbunir9i3ngjx8.png)
substitute the given values
The linear function that model the situation is
![y=0.33x+2.50](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rqyvfjxwx31bamjw8lof268jau7ri8cp15.png)