Question

You and your friend are saving for college. You have $50 and are adding $10 each week to your savings. Your friend has $20 and he is adding $20 each week to his savings.
a. What system of equations would be a good model for this situation? Let x
be number of weeks and y be the number of dollars saved.
b. Graph your system of equations.
c. Use your graph to determine when you and your friend will have the same
amount of money saved. Explain your answer.

Answer 1

Do you think this is a 2 equations in 2 unknowns situation or 1 equation in 1 unknown?

Answer 2

No idea

Answer 3

Okay thank you

Answer 4

You (in the problem) $50 + 10*x where x is the numer of weeks money is saved

Friend: $20 + 20*x

Answer 5

YOU y = $50 + 10*x

FRIEND y = $20 + 20*x

Answer 6

@Juliasawyer Are we to show the graph or just give the results of the graph?

Answer 7

Show the graph!

Answer 8

Okay. Just a sec.

Answer 9

Time to analyze this. See attachment.

Answer 10

That makes no sense

Answer 11

@Juliasawyer What is the value of x

Answer 12

On the graph, the point of intersection gives the number of weeks and the amount both will have saved (same amount)

Answer 13

Hey, you said this problem is important so let's knock it out.

Answer 14

x = ?

Answer 15

@Juliasawyer

Answer 16

(3,80)

Answer 17

Correct. After 3 weeks, each will have $80

Answer 18

Did you get the graph?

Answer 19

Where else should each line hit the x and y axis on the graph?

Answer 20

If x = 0, then y = $50 + 10*x
crosses the y-axis at 50.
50 + 10*0 = 50

Answer 21

If y = 0, then y = $50 + 10*x
crossed the x-axis at y = -5.

Answer 22

Okay thank you!

Answer 23

Do you have both graphs drawn on the same set of axes?