Question

Please help I’m struggling:(

Jose's taxi charges $5 plus $0.30 per mile for fare in a city. Kathy's taxi charges $8
plus $0.20 per mile for fare in the city. At what distance would the charges for the
two taxis be the same?

Answer 1

30 miles

Explanation:

Jose's charges are ...

j = 5 + 0.30m . . . . . for m miles

Kathy's charges are ...

k = 8 +0.20m . . . . . for m miles

The charges are the same when ...

j = k

5 +0.30m = 8 + 0.20m

0.30m = 3 + 0.20m . . . . subtract 5

0.10m = 3 . . . . . . . . . . . . subtract 0.20m

m = 30 . . . . . . . . . . . . . . . multiply by 10

The charges will be the same for a distance of 30 miles.