# Question #7ddd4

##### 1 Answer

These are linear equations, so identify your variables and equate them to each other to find the number of hours required to earn the same amount of money.

#### Explanation:

Both these scenarios are linear equations, meaning the variables have a degree of

Let's let

Let's let

The first plan describes a **flat rate** of

On the other hand, it describes an **hourly wage** of

Put this all together and we get an equation of

The second plan describes just an **hourly wage** of

Now it asks for how many hours must be worked for Britanny (You mean Tom?) in order to earn an equal amount of money for each plan.

If he is earning money with one plan and the same amount in the other, we can have each equation equal each other.

#4.50x+15 = 14.50x#

Now we just isolate and solve for

#15 = 14.50x-4.50x#

#15 = 10.00x#

#1.5=x#

Therefore, Tom has to work

Another option to find the amount of hours, is to graph the equations and find the intersection.

Hope this helps :)

P.S. I don't who Brittany is...