To find the total cost of a 5-hour bike tour, you can break it down into two parts: the fixed equipment cost and the variable cost based on the number of hours.
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Fixed Equipment Cost: This is the initial cost of renting the equipment, which is $50.
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Variable Cost per Hour: The cost for each hour of the tour is $7.50. Since the tour lasts for 5 hours, you would multiply the cost per hour by the number of hours:
\[ \text{Variable Cost} = \text{Cost per hour} \times \text{Number of hours} = 7.50 \times 5 \]
Performing the calculation:
\[ 7.50 \times 5 = 37.50 \]
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Total Cost: Finally, you add the fixed equipment cost to the variable cost calculated above:
\[ \text{Total Cost} = \text{Fixed Equipment Cost} + \text{Variable Cost} = 50 + 37.50 \]
Performing this addition:
\[ 50 + 37.50 = 87.50 \]
So, the total cost of a 5-hour bike tour would be $87.50.