Pregunta
You can buy a skateboard for \( \$ 24.00 \) from a friend and rent the safety equipment for \( \$ 1.50 \) per hour, or you can rent all items you need for \( \$ 3.50 \) per hour. At 12 hours, the cost for both options will be the same. What will the cost be at this point?
Ask by Malone French. in the United States
Feb 26,2025
Solución de inteligencia artificial de Upstudy
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At 12 hours, the cost will be $42.
Solución
Option 1: You pay a fixed cost of $24 for the skateboard plus $1.50 for each hour of safety equipment rental. So, for h hours, the cost is:
Cost₁ = 24 + 1.50 × h
Option 2: You rent everything at $3.50 per hour for h hours:
Cost₂ = 3.50 × h
We know that at 12 hours, the costs are equal. Setting the two expressions equal gives:
24 + 1.50 × 12 = 3.50 × 12
Simplify:
24 + 18 = 42 and 3.50 × 12 = 42
Thus, at 12 hours, the cost is $42.
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Simplifique esta solución Mind Expander
To find the break-even point at 12 hours, we need to calculate the total cost for both options. For the first option (buying the skateboard and renting safety equipment): - Initial cost of the skateboard: \( \$ 24.00 \) - Cost of renting safety equipment for 12 hours: \( 12 \times \$ 1.50 = \$ 18.00 \) - Total cost: \( \$ 24.00 + \$ 18.00 = \$ 42.00 \) For the second option (renting all items): - Cost for renting both skateboard and safety equipment for 12 hours: \( 12 \times \$ 3.50 = \$ 42.00 \) So at 12 hours, both options will indeed cost \( \$ 42.00 \).
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