https://file.aiquickdraw.com/mathbot/file/1726762742651kuwht1k8.jpg

To solve this problem, we need to determine how much Logan earns for 15 hours of work based on the given table. The table shows his earnings for 2, 4, 6, and 8 hours, which suggests a linear relationship between hours worked and amount earned.

We can calculate the hourly rate using the values provided and then multiply by 15 hours to find his earnings.

### Step 1: Calculate the hourly rate.
From the table, for 2 hours, Logan earns \$40.26, and for 8 hours, he earns \$161.04. Let's find the hourly rate:

Hourly rate = $\frac{\text{Amount earned}}{\text{Hours worked}}$

\[
\text{Hourly rate} = \frac{161.04}{8} = 20.13 \, \text{dollars per hour}
\]

### Step 2: Calculate Logan’s earnings for 15 hours.
Now that we know the hourly rate, we can find out how much Logan will earn for 15 hours:

\[
\text{Earnings for 15 hours} = 15 \times 20.13 = 301.95
\]

Therefore, Logan will earn **\$301.95** for 15 hours of work.

---

Do you have any questions or need further explanation on how this was solved? 

Here are 5 questions to expand on this topic:
1. How would the result change if Logan worked 20 hours?
2. Can we use another method, like interpolation, to verify this calculation?
3. How does knowing the linearity of wages help predict future earnings?
4. If Logan gets a raise to \$25 per hour, what would his earnings be for 15 hours?
5. What assumptions are we making when calculating the hourly rate?

**Tip:** Always ensure you calculate the rate accurately from a table before making predictions for different time periods!

How much money will Logan earn, in dollars, for 15 hours of work?

Learn how to calculate Logan's earnings for 15 hours of work using a linear rate based on data for 2, 4, 6, and 8 hours. This step-by-step solution involves determining the hourly wage and applying proportions to find the total earnings.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation