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

weight; 1
weight; 1

weight; 10
weight; 10

amount; 10

Answer 1

To determine the best definition for the quantity and scale for the x-axis of the piecewise linear graph of the fee structure at the dog boarding facility, we need to consider what the function is based on. The fee charged varies according to the weight of the dog, which means weight is the independent variable being measured on the x-axis.

In this case, since dog weights can range significantly (from under 15 lbs to potentially hundreds of lbs for larger breeds), using a scale of 1 (every 1 lb) would lead to a graph that is quite crowded. A scale of 10 (every 10 lbs) would simplify the visualization and allow for a clearer interpretation of how the boarding charges are structured based on the weight categories.

Therefore, the best definition for the x-axis would be: weight; 10