Question

Jordan and Jake each work during the summer. Jordan earns $9 per hour at her job. Jordan also gets a $10 weekly allowance. Jordan displayed her earnings in a table.
Hours: 0 1 2 3 4 5 6 7 8

Earnings: 10 19 28 37 46 55 64 73 82

Jake earns $6.50 per hour at his job. Jake also gets a $15 weekly allowance. Jake displayed his earnings in a graph. How many hours will it take for Jordan and Jake to earn the same amount of money?
I am desperate!!!

Answer 1

0 hours-
Jordan: 10
Jake: 15

1-
19
21.50

2-
28
28

They will have made the same amount of money after they have completed 2 hours of work each.

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Another easy way to find the answer is to put the two into expressions and combine into an equation:

Jordan: 9x+10
Jake: 6.5x+15

Put into one equation:
9x+10=6.5x+15

Solve:

9x+10=6.5x+15

Step 1) Subtract 6.5x from both sides:

2.5x+10=15

Step 2) Subtract 10 from both sides:

2.5x=5

Step 3) Divide by 2.5 on both sides:

x=2

Step 4) Your answer:

You get the same 2 (hours)

If you need the value (Like how much money they made) then just plug in your x value to both expressions.

9x+10=
18+10=
28

6.5x+15=
13+15=
28