# City cabs charges a 2.25 pickup fee and 1.25 per mile traveled.Diego's fare for a cross-town cab ride is $22.25.How far he travel in the cab?

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- KrishnamurthyLv 74 months ago
City cabs charge a 2.25 pickup fee and 1.25 per mile traveled.

Diego's fare for a cross-town cab ride is $22.25.

How far did he travel in the cab?

He traveled 16 miles in the cab.

- llafferLv 74 months ago
If the pickup fee is $2.25 and $1.25 per mile, then the cost function for this is:

C(x) = 1.25x + 2.25

So what's the miles if the fare is $22.25? Solve for x when C(x) = 22.25:

22.25 = 1.25x + 2.25

20 = 1.25x

20/1.25 = x

x = 16 miles

- Mr. SmartypantsLv 74 months ago
First subtract the pickup fee. 22.25 - 2.25 = 20.00

Now divide 20.00 by 1.25. I get 16. That's 16 miles.

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