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 Ibs, 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

• amount; 10
O amount; 1
• weight; 1
• weight; 10

Answer 1

To define the quantity and scale for the x-axis for a piecewise linear graph of the fee structure outlined, you want to consider the weight of the dogs, as that is the determining factor for the boarding fee.

The fee structure is broken down by weight categories:

• Under 15 lbs: $30
• Between 15 and 50 lbs: $35
• 50 lbs and over: Starting at $35 and increases by $3 for every additional 5 lbs over 50 lbs.

Since the weight range spans from under 15 lbs to potentially very high weights, using a scale that captures the relevant changes would be important.

Given the weight ranges described, it would be most logical to select a weight scale that allows for clear visibility of the changes in fees based on weight. A scale increment of 10 lbs would adequately show the transition points (e.g., at 15 lbs and 50 lbs, etc.) while also covering enough weight range without being overly detailed.

Thus, the best option for the x-axis is:

• weight; 10