Question

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?

A.
Larry’s Landscaping will charge more money on the tenth week by charging $535.

B.
Joe’s Landscaping will charge more money on the tenth week by charging $535.

C.
The cost for lawn maintenance is the same, $535, for both landscaping companies after 10 wk.

D.
A customer can have his or her lawn maintained for a maximum of 10 wk. The customer will pay a total of $535.

Answer 1

@3mar

Answer 2

Well, I am here.

Answer 3

What do you think?

Answer 4

Think: Why would you want to determine where two graphs cross?

Answer 5

You have a "solution" where the graphs cross.
What does the "solution" tell you?

Answer 6

Read the four possible answer choices carefully.

Answer 7

im back

Answer 8

Welcome back!

Answer 9

thx

Answer 10

np

Answer 11

help?

Answer 12

What do you think?
You know the idea, so go and use it!

Answer 13

@koolkid98

??

Answer 14

one sec

Answer 15

the idea is to use a graph... just kiding i dont know the idea

Answer 16

It is not a condition to show the graph!

He gave you the solution directly!

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

What does it mean!?

Answer 17

@koolkid98
Are you there?

Answer 18

It is not necessary to graph these 2 functions. I do think it is a fair and appropriate question (not an answer) to ask what the significance is of the two graphs intersecting.

What does c represent? What does w represent?

Answer 19

c stands for clean and w stands for weeks

Answer 20

Try again. c has a more specific meaning than that.
w stands for the number of weeks that have gone by.
c stands for what?

Answer 21

"c is the cost of lawn maintenance and w is the number of weeks"

Answer 22

i agree

Answer 23

If c really stood for "clean", then you are saying that clean = clean. Obviously doesn't make sense. 3mar has pointed out that c represents cost, which is correct.

Then you'd have cost = cost, which definitely does make sense.

What is the significance of two graphs intersecting here?
Note that there are 2 different guys here doing the yard work.

Answer 24

Now would be a good time to read (carefully) all four answer choices. Which of these four makes the most sense?

Answer 25

i want to say (B)

Answer 26

So what is the solution of these two equation represents @koolkid98?

Why B? tell me the reasons?

Answer 27

because he charges 535 plus extra

Answer 28

I agree with 3mar: You need to explain your reasoning. No, neither person charges $535 plus extras.

Answer 29

Again, what does "c" represent?

Answer 30

cost

Answer 31

We agreed that they have the same cost (c=535) as they work in the tenth week (w=10)

oK?

Answer 32

And if that is the case, one of the 4 answer choices fits perfectly. Which one?

Answer 33

i would have to say answer (C) @mathmale

Answer 34

@3mar am i right?

Answer 35

You asked him!

Answer 36

\[\Huge\color{red}\checkmark\]
You hit the right target!

Answer 37

Nice work. Yes, C is correct, because the homeowner would have paid the same price to either person at that one time (10 weeks).