Multiple Choice Question

Question

A computer technician charges a flat fee of $35 to repair a computer in addition to an hourly rate of $22.50. The technician has calculated he will earn at least $215 from his next repair job. Which inequality can be used to determine the number of hours, h, that the technician will work on his next job?

A.
, with a solution of

B.
, with a solution of

C.
, with a solution of

D.
, with a solution of

Answer 1

To determine the inequality that represents the situation, we can start by expressing the total cost charged by the technician for the repair job.

The technician charges:

• A flat fee of $35
• An hourly rate of $22.50 for h hours

The total charge for the job can be expressed as:

\[ \text{Total charge} = 35 + 22.50h \]

We need to find the inequality that ensures this total charge is at least $215:

\[ 35 + 22.50h \geq 215 \]

To solve for \(h\), we can follow these steps:

1. Subtract 35 from both sides: \[ 22.50h \geq 215 - 35 \] \[ 22.50h \geq 180 \]

2. Divide both sides by 22.50: \[ h \geq \frac{180}{22.50} \]

Calculating the division: \[ \frac{180}{22.50} = 8 \]

So, the inequality that represents the situation is:

\[ h \geq 8 \]

Looking at the answer choices you provided (A, B, C, D), we do not have the specific inequalities listed. However, based on the solution derived, we would look for an option that resembles:

Correct Inequality: \(35 + 22.50h \geq 215\)

Solution: \(h \geq 8\)

If you provide the specific inequalities corresponding to A, B, C, and D, I can help identify the correct choice.