Question

Paul’s Pool Service charges $340 to open a pool and charges $28 each week for pool maintenance. Nelson’s Pool Service charges $280 to open a pool and charges $32 each week for pool maintenance. The system that models this situation is given, where c is the cost of pool maintenance and w is the number of weeks.



c = 340 + 28w

c = 280 + 32w



The solution to the system is (15, 760).



Which interpretation correctly describes the solution to the system of equations?

Answer 1

@ohlookidontunderstandanotherthing

Answer 2

@iGreen

Answer 3

each equation models the total cost c, given the number of weeks w that have passed

Total Cost = initial cost + (weekly fee)*(#weeks)

Answer 4

you see that ?

Answer 5

yes kind of

Answer 6

imagine you are renting a movie for instance, the total cost will be the initial rental fee, pluss, a late fee times how many days late, same kinda idea

Answer 7

yea

Answer 8

the solution to those two given equations (lines y=m*x+b ) is where they cross on the graph

Answer 9

uh huh

Answer 10

each point represents (x,y), here it is (weeks,cost) = (w ,c) = (15,760)

they cross when w=15, and c=760, that point is the only one on both lines

Answer 11

so you can say the cost will be the same at week 15 for both of the pool services