Question

One moving company charges $500 plus $20 per hour. Another moving company charges $620 plus $10 per hour. Write an equation to determine how many hours have to be worked for the moving companies to charge the same amount. Solve to determine how many hours?

Answer 1

12 hours

Explanation:

Let's say that our variable is x, where x equals the amount of hours.

You have an upright price of $500 for the first company, as well as an additional $20 an hour.

The second company has an upright price of $620, and charges $10 an hour.

f(x)= 20x+500

g(x)= 10x+620

You want to find how many hours must be worked for the two companies to charge the same amount.

You want to find how many miles it takes to make the two equations equal:

20x+500=10x+620 (Set them equal to each other because you are trying to find when the hours are equal and the cost is equal)

10x+500=620 (Subtract 10x from both sides)

10x=120 (Subtract 500 from both sides)

x=12 (Divide both sides by 10)

Remember that x is the amount of hours, so, the companies would charge the same if they worked for 12 hours.