Question

A cab charges $1.45 for the flat fee and $0.55 for each mile. Write and solve an inequality to determine how many miles Ariel can travel if she has $35 to spend.

A: $1.45 + $0.55x ≥ $35; x ≥ 61 miles
B: $1.45 + $0.55x ≤ $35; x ≤ 61 miles
C: $0.55 + $1.45x ≥ $35; x ≥ 23 miles
D: $0.55 + $1.45x ≤ $35; x ≤ 23 miles

Answer 1

answer is B: $1.45 + $0.55x ≤ $35; x ≤ 61 miles

$1.45 + $0.55x ≤ $35
$0.55x ≤ $35 - $1.45
$0.55x ≤ $33.55
x ≤ 61

Answer 2

Answer: B: $1.45 + $0.55x ≤ $35; x ≤ 61 miles

Explanation:

Hi, to answer this question we have to write an inequality with the information given:

• Flat fee: $1.45
• Price per mile: 0.55
• Ariel’s budget: $35

So, we have to multiply 0.55 by the number of miles (x) and add the flat fee (1.45). That expression must be equal or less to the money that Ariel has (35)

Mathematically speaking:

1.45 + 0.55x ≤35

Solving for x:

0.55x ≤35 -1.45

0.55x ≤ 33.55

x ≤ 33.55/0.55

x ≤ 61

She can travel up to 61 miles with $35 .