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

amount; 1
amount; 1

weight; 10
weight; 10

weight; 1
weight; 1

Answer 1

To define the quantity and scale for the x-axis of a piecewise linear graph representing the fee structure based on the dog's weight, we need to consider the following:

1. The quantity that is being measured on the x-axis is the weight of the dog, as the fee structure is based on the dog's weight.
2. The scale on the x-axis should be appropriate for the weight categories given (under 15 lbs, between 15 and 50 lbs, and 50 lbs or more). The smallest incremental weight that makes sense in this context is likely to be 1 lb, as we want to capture the changes in weight accurately within the specified ranges.

Therefore, the best response would be:

weight; 1