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.
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!