A taxi charges $2.05 per ride and
$0.20 for each mile, which can be
written as F = $2.05 + $0.20m. How
many miles can you travel in the cab
and have the fare be less than $10?

A.) 43
B.) 15
C.) 39
D.) 25

Question

A taxi charges $2.05 per ride and
$0.20 for each mile, which can be
written as F = $2.05 + $0.20m. How
many miles can you travel in the cab
and have the fare be less than $10?

A.)	43
B.)	15
C.)	39
D.)	25

mathstudent55 · Answer

Set the formula 2.05 + .2m less than 10 and solve the inequality for m.

agent0smith · Answer

Fare is $10 or less, so use F = 10.

 10 = $2.05 + $0.20m

subtract 2.05 from both sides, then divide both sides by 0.2 to find m, miles.

jim_thompson5910 · Answer

Fare < $10


F < 10


2.05 + 0.20m < 10 ... Plug in F = 2.05 + 0.20m


0.20m < 10-2.05


0.20m < 7.95


m < ???

anonymous · Answer

it would be 25?

jim_thompson5910 · Answer

no

jim_thompson5910 · Answer

how would you solve 0.20m < 7.95

jim_thompson5910 · Answer

in other words, how would you isolate m?

anonymous · Answer

7.95/0.20=39?

jim_thompson5910 · Answer

7.95/0.20 = 39.75

so you're close

so

m < 39.75

you round down to get m < 39 (since 39 is less than 39.75, it works)

So if F < 10, then m < 39 where m is some whole number of miles

anonymous · Answer

so 43

jim_thompson5910 · Answer

no, 39

not sure how you got 43

jim_thompson5910 · Answer

anything over 39 miles will yield a fare over $10