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; 1
amount; 1

amount; 10
amount; 10

weight; 10
weight; 10

weight; 1

Answer 1

For a piecewise linear graph of the fee structure based on the dog's weight, the x-axis should represent the weight of the dog. The appropriate scale would allow for clear representation of the different fee structures based on the weight ranges.

Given the structure:

• Dogs under 15 lbs.
• Dogs between 15 and 50 lbs.
• Dogs 50 lbs and over, with an increasing cost based on the additional weight.

The best choice for the quantity and scale for the x-axis would be:

weight; 10

This choice reflects the weight of the dogs in increments of 10 lbs, which aligns well with the ranges defined in the problem.