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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

Respuesta :

cedarwood79
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:

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

Step-by-step explanation:

Suppose, the number of miles Ariel can travel [tex]=x[/tex]

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

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:   [tex]\$1.45+\$0.55x\leq \$35[/tex]

Solving the above inequality....

[tex]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[/tex]

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

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