Q51. - Algebra 2

Question

The Friendly Fix-It Company charges a base fee of \(35 for any in-home repair. In addition, the technician charges \)10 per hour. Write an equation for the cost $\mathbf{c}$of an in-home repair of$\mathbf{h}$hours.

Step-by-Step Solution

Answer

The equation for the cost $c$ of an in-home repair of $h$ hours is $\mathbf{c}\mathbf{=}\mathbf{35}\mathbf{+}\mathbf{10}\mathbf{h}$.

Step 1 ­- Description of step.

It is being given that the technician charge for 1 hour is $10.

Therefore, the technician charge for $h$ hour is given by:

$10·h=10h$

Step 2 ­- Description of step.

It is also being given that there is base fee of $35 for in-home repair.

Therefore, the total cost $c$of an in-home repair of $h$ hours can be find out by adding the base fee and the technician charge for $h$ hours.

Therefore, the cost $c$ of an in-home repair of $h$ hours is given by:

$c=35+10h$

Step 3­- Description of step.

The equation for the cost $c$of an in-home repair of $h$ hours is $c=35+10h$.