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

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?

A.
At 15 wk of pool cleanings, a customer will reach the maximum payment of $535.

B.
At 15 wk, the cost for pool maintenance is the same for both companies. Both companies will charge $760.

C.
Paul’s Pool Service charges more money in the fifteenth week by charging $760.

D.
Nelson’s Pool Service charges more money in the fifteenth week by charging $760.

Answer 2

@logancoop

Answer 3

Its B