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

amount; 10
amount; 10

weight; 10
weight; 10

weight; 1
weight; 1

Answer 1

To define the quantity and scale for the x-axis of a piecewise linear graph of the fee structure in the dog boarding facility based on the dog's weight, we consider the data points involved:

1. The weight categories are defined as:
   • Under 15 lbs
   • Between 15 and 50 lbs
   • 50 lbs and over (with $35 plus $3 for each additional 5 lbs over 50 lbs)

The x-axis will represent the dog's weight, and it typically covers the range of weights considered, which in this case is from 0 to around 100 lbs (or more, depending on the specific range of dogs).

Regarding the scale, if we choose increments of 10 lbs for the x-axis, it will allow for a clear representation of how the fees change with varying dog weights, especially around the critical points of 15 lbs and 50 lbs.

Given this reasoning, the best option for defining the quantity and scale for the x-axis is:

weight; 10