Question

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

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