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ss7ja [257]
3 years ago
10

Dominic earns $18 an hour plus $25 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the w

eek. Part A: Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime. (3 points) Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 35 hours. (3 points) Part C: Dominic earned $730 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)
Mathematics
1 answer:
alexgriva [62]3 years ago
6 0
Part A: (no overtime) E = 18x. Please note that x cannot exceed 35, thus E cannot exceed $630.

Part B: T = 25y + 18x where x = 35 hours. Thus, T = 25y + 630.

Part C: T = $730. 730 = 630 + 25y. Subtract 630 from both sides. 100 = 25y. Divide both sides by 25. y = 4. This is the number of overtime hours -- remember that Dominic has already worked 35 hours non-overtime. 35 + 4 = $730.
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\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
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