Q51. - Algebra 1

Question

The one-time fee for emergency house call of an electrician is \(30 and the rate of electrician per hour is \)55. Which equation best represents the relationship between the number of hours an electrician works h and the total charges c.

A. $c=30+55$

B. $c=30h+55$

C. $c=30+55h$

D. $c=30h+55h$

Step-by-Step Solution

Answer

The equation is $c=55h+30$. So, the correct option is (C).

Step 1. Given information.

The number of hours is h and the total charges are c.

One-time fee for emergency house call = $30

Rate of electrician per hour = $55

Step 2. Make the sentence.

If the electrician works h hours and the rate per hour is $55.

Then, the charge of the electrician is $55h.

But charges for the emergency calls are $30.

So, total charges are equal to $\$55h+\$30$.

Step 3. Write the equation.

The total charges are represented by c. Therefore,

$c=55h+30$

This is the required equation.