A cab charges $1.50 for the first mile and $0.50 for each additional mile. Write and solve an inequality to determine how many miles Sharon can travel if she has $25 to spend.

$0.50 + $1.50x ≤ $25; x ≤ 16 miles

$0.50 + $1.50x ≥ $25; x ≥ 16 miles

$1.50 + $0.50x ≤ $25; x ≤ 47 miles

$1.50 + $0.50x ≥ $25; x ≥ 47miles

Question

Mathematics

Max Roberts

19 August, 09:36

A cab charges $1.50 for the first mile and $0.50 for each additional mile. Write and solve an inequality to determine how many miles Sharon can travel if she has $25 to spend.

$0.50 + $1.50x ≤ $25; x ≤ 16 miles

$0.50 + $1.50x ≥ $25; x ≥ 16 miles

$1.50 + $0.50x ≤ $25; x ≤ 47 miles

$1.50 + $0.50x ≥ $25; x ≥ 47miles

+1

Answers (1)

Know the Answer?

Akira Rowe · Answer 1

1.50 + 0.50 (x-1) < 25

1.50 + 0.50x - 0.50 < 25

1 + 0.50x < 25

-1 - 1

0.50x < 24

:0.50 : 0.50

x < 48

1.50 + 0.50x < 25; x < 47 miles 3rd option in the choices.

To check:

1.50 + 0.50 (47) < 25

1.50 + 23.50 < 25

25 < 25