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

Answer:

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

Step-by-step 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....

$1.45+0.55x\leq 35\\ \\ 0.55x\leq 35-1.45\\ \\ 0.55x\leq 33.55\\ \\ x\leq \frac{33.55}{0.55}\\ \\ x\leq 61$

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