Question

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) Responses weight; 10 weight; 10 weight; 1 weight; 1 amount; 10 amount; 10 amount; 1

Answer 1

For a piecewise linear graph representing the fee structure of the dog boarding facility based on weight, the x-axis will represent the dog's weight, and the scale should effectively cover the different weight categories defined in the fee structure.

The categories are:
- Dogs under 15 lbs: $30
- Dogs between 15 lbs and 50 lbs: $35
- Dogs 50 lbs or more: $35 plus $3 for each additional 5 lbs over 50 lbs

Given these groups, the weight range would span from just below 15 lbs to the maximum possible weight of a dog. Therefore, an appropriate scale for the x-axis would cover the range of weights effectively, allowing for clarity in displaying the charges for different weights.

The term "weight" as the quantity on the x-axis is appropriate, and given the usual unit of measurement for dog weight in pounds, a scale increment of 10 lbs would effectively represent the various weight categories and keep the graph readable.

Thus, the best definition for the quantity and scale for the x-axis would be:

**weight; 10**