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The cost of using a telephone in a hotel...

The cost of using a telephone in a hotel meeting room is $0.20 per minute. Which of the following equations represents the total cost c, in dollars, for h hours of phone use?

A

`c=0.20 (60h)`

B

`c=0.20h + 60`

C

`c=(60h)/0.20`

D

`c=(0.20h)/60`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find an equation that represents the total cost \( c \), in dollars, for \( h \) hours of phone use, given that the cost is $0.20 per minute. ### Step-by-Step Solution: 1. **Identify the cost per minute**: The cost of using the telephone is given as $0.20 per minute. 2. **Convert hours to minutes**: Since we need to express the total cost in terms of hours, we first convert hours to minutes. There are 60 minutes in 1 hour. Therefore, if we have \( h \) hours, the total number of minutes is: \[ \text{Total minutes} = h \times 60 \] 3. **Calculate the total cost**: The total cost \( c \) for \( h \) hours of phone use can be calculated by multiplying the total number of minutes by the cost per minute: \[ c = \text{Total minutes} \times \text{Cost per minute} \] Substituting the values we have: \[ c = (h \times 60) \times 0.20 \] 4. **Simplify the equation**: We can simplify this equation: \[ c = 0.20 \times 60 \times h \] This can be written as: \[ c = 12h \] (since \( 0.20 \times 60 = 12 \)). 5. **Final equation**: Thus, the equation that represents the total cost \( c \) for \( h \) hours of phone use is: \[ c = 12h \]
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