A rideshare company charges a $3 ride fee in addition to its meter, which is $1.50 for every mile. Write an equation for this situation in point-slope form for a customer who went 6 miles and paid $12 total.

Answer 1

Let's denote the total cost paid by the customer as C and the distance traveled as d.

The equation for this situation can be written in point-slope form, where the slope represents the meter rate per mile and the y-intercept represents the fixed ride fee added to the meter:

C = (meter rate per mile) * d + (fixed ride fee)

Since the meter rate per mile is $1.50 and the fixed ride fee is $3, the equation becomes:

C = 1.50d + 3

To find the specific equation for the situation where the customer went 6 miles and paid $12, we substitute d = 6 and C = 12 into the equation:

12 = 1.50(6) + 3

Simplifying the equation:

12 = 9 + 3

12 = 12

Thus, the equation for this situation in point-slope form is:

C = 1.50d + 3.