Subjects algebra

Hours Needed F25083

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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.