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 POSTED THIS ANSWER BEFORE BUT IT NEVER GOT ANSWERED AND I REALLY NEED IT)

Respuesta :

The answer is 2. I had this question on a quiz I took so I know it's correct!

Answer:

It will take 2 hours for Jordan and Jake to earn the same amount of money

Step-by-step explanation:

Jordan earns $9 per hour

Let he worked for x hours

So, he earned in x hours = 9x

Jordan also gets a $10 weekly allowance.

So, his total earning in x hours = 10+9x

Jake earns $6.50 per hour at his job.

Let he worked for x hours

So, he earned in x hours = 6.50x

Jake also gets a $15 weekly allowance.

So, his total earning in x hours = 15+6.50x

Now to know How many hours will it take for Jordan and Jake to earn the same amount of money

[tex]10+9x=15+6.50x[/tex]

[tex]9x-6.5x=15-10[/tex]

[tex]2.5x=5[/tex]

[tex]x=\frac{5}{2.5}[/tex]

[tex]x=2/tex]

Hence it will take 2 hours for Jordan and Jake to earn the same amount of money