Jordan and Jake each work during the summer. Jordan earns $9 per hour at her job
ID: 3119118 • Letter: J
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.
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?
Enter your answer in the box.
______ hours
Hours 0 1 2 3 4 5 6 7 8 Earnings 10 19 28 37 46 55 64 73 82 Jake's Earnings 80 70 60 50 40 30 20 10 4 Hours worked (in a week) 5v 000000000 87654321 (SJellop) awooul APPaM SJelop) awoDUI APIaaAAExplanation / Answer
As both jake and Jordan getting some initial amount as allowance and then linear constantly incremental increase per hour in their amount hence for getting equal amount after n (say) hours, we get equilibrium equation fir amount earned for both after n hours as
Jake's earnings =Jordan's earnings
15+6.5n = 10+9n
(9-6.5)n = 15-10
2.5n = 5
n = 5/2.5
n = 2hours
Hence after 2 hours both jake and Jordan will earn same amount of money.
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