A dog boarding facility charges daily based on a dog’s weight. If the dog weighs under 15 lbs, the rate is $30. If the dog is between 15 and 50 lbs, it is $35. If the dog is 50lbs or more, the charge is $35 plus $3 for each additional 5 lbs over 50 lbs. Which of the following best defines the quantity and scale for the x-axis for a piecewise linear graph of the fee structure?(1 point)

Question

Responses

amount; 10
amount; 10

weight; 10
weight; 10

weight; 1
weight; 1

amount; 1

Answer 1

To define the quantity and scale for the x-axis of a piecewise linear graph of the fee structure based on the weight of the dog, we need to consider the weight range that influences the pricing.

The relevant weight categories are:

• Under 15 lbs: $30
• Between 15 and 50 lbs: $35
• 50 lbs or more: Starts at $35 and increases by $3 for every additional 5 lbs over 50 lbs.

In this case, the x-axis represents the weight of the dog in pounds, while the y-axis represents the amount charged in dollars.

Considering the increments for the x-axis:

• We may want to capture the key changes in the pricing, which occur at specific weights (15 lbs and 50 lbs).

Given that the most significant changes occur at key points within the ranges of weight, a scale of 10 lbs would be reasonable, as it allows for clear visualization of the ranges and transitions.

Therefore, the best definition for the quantity and scale for the x-axis is:

weight; 10