Question

TIMEDDDDD PLEASE ANSWER 15 POINTS

Jolianne worked half as many hours as Andrew. Jolianne makes $10 per hour and has saved $27. Andrew makes $8 per hour and has no money saved. After getting paid, they have the same amount of money.


Andrew claims that only his table and equation are correct, but Jolianne claims that both tables and equations are valid. Which statement regarding their claims is true?

Andrew is correct because t cannot be used to represent the number of hours Jolianne worked.

Andrew is correct because Jolianne worked half as many hours as he did and he did not work twice as many hours as she did.

Jolianne is correct because if one lets t = hours Andrew worked, then his equation is valid. If one lets t = hours Jolianne worked, then Andrew worked twice as many so her equation is valid, too.

Jolianne is correct because when solving t in her equation, t = hours Jolianne worked, and when solving for t in Andrew’s equation, t = hours Jolianne worked so they are equal.

Answer 1

the answer is B :)

Explanation:

Answer 2

Andrew is correct because Jolianne worked half as many hours as he did and he did not work twice as many hours as she did

Explanation:

Let

x ----> number of hours worked by Jolianne

t ----> number of hours worked by Andrew

we know that

The number of hours worked by Jolianne multiplied by $10 per hour plus $27 saved must be equal to the number of hours worked by Andrew multiplied by $8

The linear equation that represent this situation is

`10x+27=8t` ----> equation A

`x=(t)/(2)` -----> equation B

substitute equation B in equation A

`10((t)/(2))+27=8t`

so

Andrew's table and equation is correct

Jolianne's table and equation are not correct, because Andrew did not work twice as many hours as she did