Julianne worked half as many hours as andrew. julianne 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’s table for comparing money
name
rate of pay
(per hour)
hours worked
julianne
10
1/2t
andrew
8
t
andrew’s equation: 8t=10(1/2t)+27
julianne's table for comparing money
name
rate of pay
(per hour)
hours worked
julianne
10
t
andrew
8
2t
jolianne’s equation: 8(2t)=10(t)+27
andrew claims that only his table and equation are correct, but julianne claims that both tables and equations are valid. which statement regarding their claims is true?
a)andrew is correct because t cannot be used to represent the number of hours julianne worked.
b)andrew is correct because julianne worked half as many hours as he did and he did not work twice as many hours as she did.
c) julianne is correct because if one lets t = hours andrew worked, then his equation is valid. if one lets t = hours julianne worked, then andrew worked twice as many so her equation is valid, too.
d) julianne is correct because when solving t in her equation, t = hours julianne worked, and when solving for t in andrew’s equation, t = hours julianne worked so they are equal.