Write the cost equation for each cab service in terms of the # of miles and define the variables. Complet. label your graph ( linear graph). For what trip distance should a client use Mr. Kelly?Uber?

Question

Kelly’s Cabbies is competing against Uber for a share of the cab service market. Mr. Kelly charges a $6 fee plus $0.50 per mile. Uber is charging $0.80 per mile but does not charge a fee.

Answer 1

Price for Kelly's Cabbies = $K

Price for Uber = $U

$K = $6 + $0.50 m

$U = $0.80 m

Set $K = $U to find the distance in miles, m, where the price of using either service is equal.

$6 + $0.50 m = $0.80 m

$6 = $0.30 m

m = $6 / $0.30

m = 20 miles

Let m = any value less than 20 miles now. Use m = 5 miles.

Then $K = $6 + $0.50 * 5 = $ 8.50

and $U = $0.80 * 5 = $ 4.00

So Uber is cheaper for trips under 20 miles.

Just to be sure, now Let m = any value greater than 20 miles now. Use m = 30 miles.

Then $K = $6 + $0.50 * 30 = $ 21.00

and $U = $0.80 * 30 = $24.00

So Kelly's Cabbies is cheaper for trips over 20 miles.

Sorry, I have never found a way to paste a graph into Wyzant Ask an Expert. If you send me a message, I will plot one in Excel and send it to you. When you plot the two lines, the intersection should be at m = 20 miles. This will save you from having to calculate it and it would also be visually apparent which service to use for trips under and over 20 miles.

If you like the way I have answered this question, then please leave a comment and send me a message letting me know you liked it ! You can take a look at over 50 other problems I have solved here on Wyzant Ask an Expert using the link on my tutor page. Please contact me about setting up an online session to help you achieve your best potential test scores and grades in Mathematics, Chemistry, and Physics.

Thank you! Best of luck to you :)

John B.

Atlanta, GA

Answer 2

K=6+.5m

U=.8m

6+.5m=.8m

m=20

Therefore for trips up to 20 miles Uber is cheaper.