Ali wants to rent a bounce house for the cookout. A. Company A rents a bounce house for a $100 rental fee plus $20 per hour. Company B rents a bounce hours for $40 per hour. Let h = the number of hours the bounce house is rented. Write an expression that shows the cost of renting a bounce house from each company.
B. Will it cost more to rent from Company A or B if Ali bounce house for 3 hours? 5 hours? 10 hours?
C. For how many hours would Ali have to rent the bounce house from Company B before it becomes less expensive to rent from company A? Explain.

Part A. Company A: 20h+100

           Company B: 40h

Part B. After 3 hours: Company B is cheaper

           After 5 hours: Both companies would cost as much

          After 10 hours: Company A is cheaper

Part C. He would have to rent the bounce house for at most 5 hours before it becomes more expensive than Company A, because both companies would charge as much money at 5 hours.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

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