Question

A banquet hall charges $110 to rent a room for 4 hours. Which equation could be used to determine the cost, C, for x hours of use?

a) x = 27.5C
b) x = 440C
c) C = 440x
d) C = 27.5x

Answer 1

The equation that represents the cost, C, for x hours of use at the banquet hall is C = 27.5x.

Step-by-step explanation:

To determine the cost for x hours of use, we need to consider the rate of the banquet hall. Based on the given information, we know that the rental cost for 4 hours is $110. Since this is a linear relationship, we can determine the rate per hour by dividing the total cost by the number of hours. In this case, the rate is $110/4 = $27.50 per hour. Therefore, the equation that represents the cost, C, for x hours of use is C = 27.5x, option d.