Question

A car service charges customers a fee of $4, and then $0.50 per mile durig their drive. The equation C=0.5m + 4 relates to the cost in dollars, C, to he number of miles, m. Is yere a proportional relationship between C and m? Explain your reasoning.

Answer 1

The cost of the car service has a proportional relationship with the number of miles driven. For each mile driven, the cost increases by $0.50.

Step-by-step explanation:

The equation C = 0.5m + 4 represents the cost, C, in dollars for a car service based on the number of miles, m, driven. To determine if there is a proportional relationship between C and m, we need to see if the equation represents a linear function. A linear function has a constant slope, which means that for each unit increase in the independent variable, there is a constant increase or decrease in the dependent variable.

In this case, the equation C = 0.5m + 4 has a slope of 0.5, which is a constant value. This means that for each mile driven, the cost increases by $0.50. Therefore, there is a proportional relationship between C and m.