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.

 $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

Answer 1

Hello! So, the $1.45 is a one time fee. The $0.55 is what goes up per each mile driven. C and D are out, because the $1.45 does not multiply per mile. Ariel has $35 to spend and can't spend anymore than that. This problem written out is $1.45 + $0.55x <= 35.The answer is B.

Answer 2

The correct option is: $1.45 + $0.55x ≤ $35 ; x ≤ 61 miles

Explanation:

Suppose, the number of miles Ariel can travel
`=x`

The cab charges $1.45 for the flat fee and $0.55 for each mile. So, the total charges for
`x` miles
`=\$1.45+\$0.55x`

Given that, she has $35 to spend. That means, the total charges must be less than or equal to $35.

So, the inequality will be:
`\$1.45+\$0.55x\leq \$35`

Solving the above inequality....

`1.45+0.55x\leq 35\\ \\ 0.55x\leq 35-1.45\\ \\ 0.55x\leq 33.55\\ \\ x\leq (33.55)/(0.55)\\ \\ x\leq 61`

So, the number of miles Ariel can travel is 61 miles.