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
amount; 10
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Answer 1

To define the quantity and scale for the x-axis in a piecewise linear graph of the fee structure described, we need to consider what the x-axis represents. In this case, the x-axis will represent the weight of the dog, as the charges are based on the dog's weight.

The scale needs to accommodate the different weight categories outlined in the fee structure:

• Under 15 lbs
• Between 15 and 50 lbs
• 50 lbs and over (with increments based on additional weight)

Given this analysis, the best definition for the quantity and scale for the x-axis is:

weight; 10

This means that the x-axis will represent the weight of the dog, with intervals of 10 lbs being a reasonable and straightforward choice for the scale.