The equation h = (800 – 362) / (0.4 * 15) can be used to find the number of hours, h, Mark must work until he has $800 in his savings account. Mark must work 17 hours to have $800 in his savings account.

Question

As an instructor at a gym, Mark earns $15 per hour. He is planning to deposit 40% of his hourly earnings into his savings account. Knowing that he has $362 in his savings account, Mark is trying to determine how many hours he must work to have $800 in his savings account.

Complete the sentences about the equation to determine the number of hours Mark must work to have $800 in his savings account.

The equation _____ can be used to find the number of hours, h, Mark must work until he has $800 in his savings account. Mark must work _____ hours to have $800 in his savings account.

Quizzma Team · Answer

To determine how many hours Mark must work to have $800 in his savings account, we can start by setting up the equation based on the information given.

1. Mark earns $15 per hour and deposits 40% of his earnings into savings. Therefore, the amount he saves per hour is:

[

0.4 times 15 = 6 text{ dollars per hour}

]

2. He currently has $362 in his savings account and wants to reach $800. The amount he still needs is:

[

800 – 362 = 438 text{ dollars}

]

3. Now, we can set up the equation to find the number of hours (h) he must work:

[

6h = 438

]

4. To find (h), we solve the equation:

[

h = frac{438}{6} = 73

]

So, the completed sentences are:

The equation (6h = 438) can be used to find the number of hours, (h), Mark must work until he has $800 in his savings account. Mark must work 73 hours to have $800 in his savings account.

If you have more questions or need further clarification, feel free to ask!

The equation h = (800 – 362) / (0.4 * 15) can be used to find the number of hours, h, Mark must work until he has $800 in his savings account. Mark must work 17 hours to have $800 in his savings account.

1 Answer