Question

The weekday rate for a telephone call is a $2.00 flat fee and $0.60 for each minute. Due to a discount, the cost of calls made during weekends is 10% of the cost on a weekday. How much cheaper is it to make a 5-minute call on weekends than weekdays?

Given:
Weekdays: C = 2.00 + 0.60x
Weekends: C = 0.10(2.00 + 0.60x)

Answer 1

To calculate the cost difference, find the cost for a 5-minute call on both weekdays and weekends using the provided formulas. Weekdays cost $5.00, but weekends after applying a 10% discount only cost $0.50. The difference is $4.50, making the call significantly cheaper on weekends.

Step-by-step explanation:

The question asks for the cost difference between making a 5-minute call on weekdays versus weekends. During the weekdays, the cost C is calculated as $2.00 plus $0.60 per minute, so a 5-minute call would cost $2.00 + (5 x $0.60) = $2.00 + $3.00 = $5.00. However, on weekends, there is a 10% discount on the total cost, which means the cost C is reduced to 10% of the weekday cost. Using the given formula, the cost for a 5-minute call on the weekend would be 0.10(2.00 + 0.60x). Substituting 5 for x, we get 0.10(2.00 + (0.60 x 5)) = 0.10($5.00) = $0.50. Therefore, making a 5-minute call on weekends is $5.00 - $0.50 = $4.50 cheaper than on weekdays.