Question

A cab charges $1.45 for the first mile and $0.55 for each additional mile. Write and solve an inequality to determine how many miles Ariel can travel if she has $35 to spend.. . $1.45 + $0.55x ≥ $35; x ≥ 61 miles. . $1.45 + $0.55x ≤ $35; x ≤ 61 miles. . $0.55 + $1.45x ≥ $35; x ≥ 23 miles. . $0.55 + $1.45x ≤ $35; x ≤ 23 miles. whats th awnser.

Answer 1

If you would like to know how many miles can Ariel travel if she has $35 to spend, you can calculate this using the following steps:

x miles = ?
$1.45 + $0.55 * x <= $35
1.45 + 0.55 * x <= 35
0.55 * x <= 35 - 1.45
0.55 * x <= 33.55
x <= 33.55 / 0.55
x <= 61 miles

The correct result would be: $1.45 + $0.55 * x <= $35; x <= 61 miles.

Answer 2

The inequality to be solved is $1.45 + $0.55x ≤ $35; x ≤ 61 miles

As the problem states, the first mile is charged with $1.45 which is a fixed price. The succeeding miles would be x and is charged each mile with $0.55

Solution:

$1.45 + $0.55x ≤ $35

$0.55x ≤ $35 - $1.45

$0.55x ≤ $33.55

x ≤ 61 miles (not including the first mile)

Therefore, Ariel can travel 62 miles