Question

Problem set 2-1 | understand proportional relationships: equivalent ratios 2 of 52 of 5 items question possible points: 5 a tool rental company charges $25 for the first hour of a tractor rental. each additional hour costs $20 per hour. which statement describes the relationship between total cost and hours? responses it is not proportional; each ratio yx for related pairs is not equivalent. it is not proportional; each ratio y over x for related pairs is not equivalent. it is not proportional; each x-term is not a multiple of the previous term. it is not proportional; each x-term is not a multiple of the previous term. it is proportional; each x-term is a multiple of the previous term. it is proportional; each x-term is a multiple of the previous term. it is proportional; each ratio yx for related pairs is equivalent.

Answer 1

The relationship between total cost and hours for the tractor rental is not proportional due to the different initial fee and consistent additional hourly rate.

Step-by-step explanation:

The relationship between the total cost and the hours in the given scenario is not proportional. This is because the initial cost for the first hour is a flat fee, and each additional hour adds a consistent amount to the total cost, which does not fit the definition of a proportional relationship. Proportionality would require that the total cost to the hours rented be consistent across the board.

For example, if a proportional relationship existed, renting the tractor for one hour or many hours would have a consistent unit rate, which isn't the case here. This scenario mirrors similar situations, such as the scuba equipment rental example provided, where an up-front fee is followed by a consistent hourly charge, forming a linear equation that does not exhibit proportionality.