Mrs. Rodsan has found a summer job driving the ice cream truck! She keeps track of the data on selling ice cream and finds that the number of sponge
bob pops sold in the first 5 hours she drives the truck can be modeled by
f(x) = 2(x - 2) + 1, where x is the number of hours. After the first 5
hours the number of sponge bob pops sold can be modeled by f (x) = 3x.
How many more spongebob pops will she sell driving for 7 hours than driving
for 4 hours? Show all work?

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.

its a straight line parallel to the time axis