Question

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, C.Non-linear relationship, D.None of the above

Answer 1

The answer comes down to A and B because this is a linear relationship.

The answer that is correct is B, because the line does not cross through the origin if you calculated a proper equation for this situation, in this case y=1.5x+25.

Answer: B

Answer 2

Answer: A. Linear and proportional relationship

Explanation:

Given: Trendy Time race carts charges $25 plus $1.50 per lap.

Let y be the total charge and x be the number of laps.

then,
`y=25+1.5x`, which is a linear equation.

Here the rate of change of charger is constant = $1.50 per lap.

Therefore, the total charges are proportional to the number of laps.

There is a linear relationship because, the total charges is proportional upon the number of laps and the rate of change is constant.