1. **State the problem:** Jordan has saved 35 and wants to have 80. He earns 6 per hour doing yard work. We want to find a function that helps Jordan figure out how many more hours $h$ he needs to work.
2. **Define variables and equation:** Let $h$ be the number of hours Jordan works. The total money after working $h$ hours is his current savings plus earnings: $$\text{Total} = 35 + 6h$$
3. **Set up the equation:** Jordan wants the total to be 80, so:
$$35 + 6h = 80$$
4. **Rewrite the equation to isolate $h$:**
$$6h = 80 - 35$$
5. **Simplify the right side:**
$$6h = 45$$
6. **Solve for $h$ by dividing both sides by 6:**
$$h = \frac{45}{6}$$
7. **Simplify the fraction:**
$$h = \frac{\cancel{45}}{\cancel{6}} = 7.5$$
8. **Interpretation:** Jordan needs to work 7.5 more hours to have 80.
9. **Identify the correct function:** The function that models this is:
$$80 = 35 + 6h$$
Among the options given, this corresponds to:
$$80 = 6h + 35$$
**Final answer:** The function $$80 = 6h + 35$$ will help Jordan figure out how many more hours he needs to work.
Hours Needed F25083
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