Question

The initial fee of an UberSELECT ride is $4.02, with an additional $2.17 charged per mile.

a) Construct a linear model that could be used to estimate the cost of an UberSELECT ride.
b) Use your model to estimate the cost of a 9-mile trip.
c) If you are willing to spend no more than $20 on an UberSELECT trip, what is the maximum distance you could travel using the UberSELECT service?

Answer 1

a) The linear model for the cost of an UberSELECT ride is C = 4.02 + 2.17D. b) The cost of a 9-mile trip is $23.55. c) With a budget of $20, you can travel a maximum distance of 7.36 miles.

Step-by-step explanation:

a) To construct a linear model, we need to identify the variables and their relationship. In this case, the cost of an UberSELECT ride depends on the distance traveled. Let's denote the cost of the ride as C and the distance traveled as D. We know that the initial fee is $4.02 and there is an additional charge of $2.17 per mile. So, the linear model can be written as:

C = 4.02 + 2.17D

b) To estimate the cost of a 9-mile trip, we can plug in the value of D in the linear model:

C = 4.02 + 2.17(9) = 4.02 + 19.53 = $23.55

c) To find the maximum distance you could travel with a budget of $20, we can rearrange the linear model to solve for D:

D = (C - 4.02) / 2.17

Substituting C = $20, we get:

D = (20 - 4.02) / 2.17 = 15.98 / 2.17 = 7.36

Therefore, you can travel a maximum distance of 7.36 miles with a budget of $20 using the UberSELECT service.