Trendy Time race carts charges $25 plus $1.50 per lap. Which best describes the relationship between the total cost and the number of laps?
A. linear and proportional relationship
B. linear, non-proportional relationship
C. non-linear relationship
D. None of the above
Please help! God Bless!!
if it were a flat $1.50 per lap, that would be linear and proportional.
The extra $25 makes it not proportional, but the fixed charge per lap keeps it linear.
Thanks Steve!!
To determine the relationship between the total cost and the number of laps, we need to analyze the given information.
According to the information provided, Trendy Time race carts charges $25 plus $1.50 per lap. This means that the total cost includes a fixed component of $25 and an additional cost of $1.50 for each lap.
In a linear and proportional relationship, the total cost would increase or decrease in a constant and consistent manner as the number of laps increases or decreases. The relationship would be represented by a straight line when graphed.
In this case, the cost per lap is constant ($1.50), but the fixed component of $25 remains regardless of the number of laps. Therefore, the relationship between the total cost and the number of laps is linear but not proportional.
Thus, the correct answer is B. linear, non-proportional relationship.