Question

Andy's Cab Service charges a $6 fee plus $0.50 per mile. His twin brother Randy starts a rival business

where he charges $0.80 per mile but does not charge a fee.

Answer 1

The question is asking about the pricing differences between Andy's Cab Service and Randy's rival business. Andy charges a fee plus a per-mile rate, while Randy charges only a per-mile rate. Using a practical example, we compared the total costs of a 10-mile trip for each of the services.

Step-by-step explanation:

The subject of the question is Business and the grade level is High School. The question is asking about the differences in pricing between Andy's Cab Service and Randy's rival business.

Andy charges a $6 fee plus $0.50 per mile, while Randy charges $0.80 per mile with no fee. To compare the two pricing structures, we can use an example. Suppose the distance traveled is 10 miles.

For Andy's Cab Service: Fee = $6, Mileage Cost = $0.50 per mile x 10 miles = $5. Total Cost = Fee + Mileage Cost = $6 + $5 = $11.

For Randy's rival business: Fee = $0, Mileage Cost = $0.80 per mile x 10 miles = $8. Total Cost = Fee + Mileage Cost = $0 + $8 = $8.

Therefore, for a 10-mile trip, Andy's Cab Service would cost $11 and Randy's rival business would cost $8

Answer 2

The cost of using Andy's Cab Service is calculated by the equation C = 6 + 0.50x, where x is the number of miles. Randy's Cab Service costs C = 0.80x per mile with no initial fee. To determine which is cheaper for a certain number of miles, compare the total costs from both equations.

Step-by-step explanation:

To compute the cost of using Andy's and Randy's cab services, we need to consider both the flat fee and the variable charge per mile. Let's use a variable x to represent the number of miles traveled. For Andy's Cab Service, the total cost C can be described by the equation C = 6 + 0.50x. This equation consists of a $6 fixed fee plus $0.50 multiplied by the number of miles x.

For Randy's Cab Service, since there is no flat fee, the total cost C would be only the variable cost per mile, which can be calculated with the equation C = 0.80x, where x is again the number of miles traveled.

To determine which service is more economical, one would have to calculate the total costs for a given number of miles and compare them. This comparison will show you at which point (number of miles) Andy's service becomes more expensive than Randy's or vice versa.