Question

A dog boarding facility changes daily based on a dog's weight. If the dog weighs under 15 Ibs, the rate is $30. If the dog is between 15 and 50Ibs, it is $35. If the dog is 50 Ibs or more, the charge is $35 plus $3 for each additional 5 Ibs over 50 Ibs. Which of the following best defines the quanity and scale for the x-axis for a piecewise linear graphof the fee structure?
amount;1
weight;1
weight;10
amount;10

Answer 1

For a piecewise linear graph depicting the fee structure based on the weight of dogs, the x-axis would need to represent the weight of the dogs. The possible weight categories provided suggest different intervals.

Given the fee structure:
- Dogs under 15 lbs, fee is $30.
- Dogs between 15 lbs and 50 lbs, fee is $35.
- Dogs 50 lbs or more, fee increases based on the weight above 50 lbs.

The scale for the x-axis should capture the relevant weights. Looking at the options given:

- **amount;1**: This does not make sense as it refers to an amount, not weight.
- **weight;1**: This would be too fine a scale, likely not practical.
- **weight;10**: This seems reasonable as it allows for clear representation of weight intervals (e.g., 0-10 lbs, 10-20 lbs, etc.).
- **amount;10**: This does not apply as it again refers to an amount, not weight.

Thus, the best choice that defines the quantity and scale for the x-axis for the piecewise linear graph of the fee structure is **weight;10**.