Question

In the following exercises, solve.

Find your last month’s phone bill and the hourly salary you are paid at your job. (If you do not have a job, use the hourly salary you would realistically be paid if you had a job.) Calculate the number of hours of work it would take you to earn at least enough money to pay your phone bill by writing an appropriate inequality and then solving it.

Short answer

The number of hours of work for enough money to pay the bill is $3$hours.

Step-by-step solution

Step 1. Given Information 

The last month salary bill is $\$100$and earning is $\$40$per hour.

We have to find the number of hours of work it would take you to earn at least enough money to pay your phone bill.

Step 2. Forming the inequality 

Let the total number of hours of work be x,

The last month salary bill is $\$100$and earning is $\$40$per hour.

So, the inequality will be,

$40x\ge 100$

Step 3. Solving the Inequality 

Dividing by $40$,

$$\begin{gathered} 40x\ge 100 \\ x\ge \frac{100}{40} \\ x\ge 2.5 \end{gathered}$$

The number of hours should be whole number, so

$x=3$

Hence, the number of hours of work to pay the bill is $3$hours.