Please help asap its due in one minute

Larry’s Landscaping charges $235 for spring cleanups and $30 for weekly lawn maintenance. Joe’s Landscaping charges $185 for spring cleanups and $35 for weekly lawn maintenance. The system that models this situation is given, where c is the cost of lawn maintenance and w is the number of weeks.

c = 235 + 30w

c = 185 + 35w

The solution to the system is (10, 535).

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

ALarry’s Landscaping will charge more money on the tenth week by charging $535.
BJoe’s Landscaping will charge more money on the tenth week by charging $535.
CThe cost for lawn maintenance is the same, $535, for both landscaping companies after 10 wk.
DA customer can have his or her lawn maintained for a maximum of 10 wk. The customer will pay a total of $535.

Question

03-12-2015
Mathematics

Answered

Please help asap its due in one minute

Larry’s Landscaping charges $235 for spring cleanups and $30 for weekly lawn maintenance. Joe’s Landscaping charges $185 for spring cleanups and $35 for weekly lawn maintenance. The system that models this situation is given, where c is the cost of lawn maintenance and w is the number of weeks.

c = 235 + 30w

c = 185 + 35w

The solution to the system is (10, 535).

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

ALarry’s Landscaping will charge more money on the tenth week by charging $535.
BJoe’s Landscaping will charge more money on the tenth week by charging $535.
CThe cost for lawn maintenance is the same, $535, for both landscaping companies after 10 wk.
DA customer can have his or her lawn maintained for a maximum of 10 wk. The customer will pay a total of $535.

Verified Answer :

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Anonymous Anonymous · Answer 1 · 2015-12-03T11:56:09-05:00

The first thing you would do is substitute the 10 in for 'w' and 535 in for 'c'.
535 = 235 + 30(10)
535 = 185 + 35(10)
Then, you would just solve the equations.
535 = 235 + 30(10)
30(10) = 300
300 + 235 = 535
So the first equation is true, and we know for a fact that Larry's Landscaping charges $535 for a spring cleaning and weekly yard maintenance for 10 weeks.
On to the next equation.
535 = 185 + 35(10)
35(10) = 350
185 + 350 = 535
So, the second equation is true also. And we also know for a fact that Joe's Landscaping charges $535 for a spring cleaning and weekly yard maintenance for 10 weeks.
So, now that we know that they will end up charging the same amount of money for a spring cleaning and weekly yard maintenance, the only answer that fits that is C. The cost for lawn maintenance is the same, $535, for both landscaping companies after 10 weeks.
Hope this helps!

Blair11 Blair11 · Answer 2 · 2015-12-03T11:59:39-05:00

Blair11 Blair11

03-12-2015

535 for both in ten weeks sorry if I am lake took a while to think.

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