Question

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

amount; 10
amount; 10

amount; 1
amount; 1

weight; 1

Answer 1

To effectively represent the fee structure of the dog boarding facility on a piecewise linear graph, the x-axis should reflect the variable that directly affects the rates, which is the weight of the dog.

The choices provided indicate different variables (weight or amount) and scales (10 or 1). Since the weight is the primary variable influencing the rates, the appropriate choice for the x-axis would be:

• weight; 1

This choice allows for a more granular representation of the various rate changes based on the dog's weight, especially since the rates change at specific weights (i.e., 15 lbs and 50 lbs). Therefore, using a scale of 1 enables clear identification of these critical points.