Write an equation for the money earned

Question

A factory worker is paid at a daily rate of $10 per hour for the first forty hours of work per week and $15 per hour for any extra time.

a)write an equation for the money earned during the first forty hours

b)write down an equation for the money earned on overtime

Answer 1

Hello Alexandra,

a)write an equation for the money earned during the first forty hours

The problem says the worker gets paid $10 per hour. That means that in an hour of work, he gets paid $10.

Since the question is asking for money earned for the first forty hour, you would multiply $10 by forty:

Pay = 10 *40

b)write down an equation for the money earned on overtime

The worker gets paid $15 for any extra time. Extra time means any hour after 40 hours. So if he worked 41 hours that week, the extra time will be 41-40 = 1 hour.

If x is the number of work hours for the week, extra time will be (x - 40) because you have to subtract 40 from the total hours to find by how much the worker went past 40 hours.

So the money earned on overtime = (how much he gets paid by overtime hour) * (amount of extra time)

---> money earned on overtime = 15*(x-40) = 15x - 600

Answer 2

A factory worker is paid at a daily rate of $10 per hour for the first forty hours of work per week and $15 per hour for any extra time.

a)write an equation for the money earned during the first forty hours

b)write down an equation for the money earned on overtime

Let's look at each question separately.

The first part of the question is asking us to write the equation for the first 40 hours. Let's use "w" as our variable. We know how much the worker is paid per hour for the first 40 hours each week. So:

w=10x40

Now, let's look at the part concerning overtime. We will use "o" for the variable we are solving for. We will use "h" for the number of hours. The equation will look like this.

o=15h