# If you take a Uber and they charge \$5 just to show up and \$1.57 per mile, how much will it cost you

Discussion in 'Calculator Requests' started by math_celebrity, Mar 10, 2021.

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If you take a Uber and they charge \$5 just to show up and \$1.57 per mile, how much will it cost you to go 12 miles? (Assume no tip.)

a. Create an equation from the information above.

b. Identify the slope in the equation?

c. Calculate the total cost of the ride?

2. With the same charges as #1, how many miles could you go with \$50, if you also gave a \$7.50 tip? (Challenge Question! Hint, you only have a \$50, exactly, with you

a. Cost Equation C(m) for m miles is as follows:
C(m) = 1.57m + 5

b.
Slope of the equation is the coefficient for m, which is 1.57

c.
Total cost of the ride for m = 12 miles is:
C(12) = 1.57(12) + 5
C(12) = 18.84 + 5
C(12) = 23.84

d.
If you give a 7.50 tip, we subtract the tip from the \$50 to start with a reduced amount:
50 - 7.50 = 42.50
So C(m) = 42.50
1.57m + 5 = 42.50
To solve this equation for m, we type it in our search engine and we get:
m = 23.89
Since we deal in full miles, we round our answer down to m = 23