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 50 lbs 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 structures?

Question

amount; 10

weight; 1

amount; 1

weight; 10

Answer 1

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

1. The x-axis will represent the dog's weight, which is a key input to determine the daily boarding fee.
2. The weight categories specified in the problem are defined in ranges:
   • Under 15 lbs
   • Between 15 lbs and 50 lbs
   • 50 lbs or more (with a variable charge depending on the weight beyond 50 lbs)

Given this information, the best choice for the x-axis is:

weight; 10

This means the x-axis will represent the dog's weight in increments of 10 lbs, allowing us to clearly show the transitions between the different fee structures based on weight categories.