1. Let $ t $ be the number of hours after 8:00 AM. The water level rises at 3 feet per hour, so the equation is:
$ y = 3t + 5 $
At 2:00 PM, $ t = 6 $, so $ y = 3(6) + 5 = 23 $ feet.
2. Let $ x $ be the number of meals sold. The profit per meal is $ 10 - 4 = 6 $ dollars. To break even, profit must equal fixed cost:
$ 6x = 30 \Rightarrow x = 5 $
So, 5 meals must be sold to break even.
3. Let $ h $ be the number of hours worked. The total pay is:
$ y = 8h + 5 $
4. Let $ h $ be the number of hours worked. The total charge is:
$ y = 25 + 40h $
5. Let $ p $ be the price per pound and $ q $ be the quantity sold (in pounds). Total revenue is:
$ R = p \cdot q = 1000 $
Since $ q = 100 $, then $ p = \frac{1000}{100} = 10 $ dollars per pound.
6. Let $ t $ be the number of hours. The cost is:
$ C = 75 + 100t $
For 3 hours, $ C = 75 + 100(3) = 375 $ dollars.
Parent Tip: Review the logic above to help your child master the concept of y mx b worksheet.
