Question

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)
Responses

amount; 10
amount; 10

weight; 1
weight; 1

amount; 1
amount; 1

weight; 10

Answer 1

To define the quantity and scale for the x-axis of a piecewise linear graph of the dog boarding fee structure effectively, we need to consider the two primary variables involved: the dog's weight and the amount charged based on that weight.

The dog's weight determines the fee structure, and given the hourly rates for different weight categories, it would be logical to have the weight on the x-axis.

In this case, the weight categories are:
- Less than 15 lbs
- Between 15 and 50 lbs
- 50 lbs or more (with a variable fee that increases for every additional 5 lbs over 50).

When determining the scale, an increment of 10 lbs is suitable because it covers the various weight ranges conveniently (0-10, 10-20, 20-30, etc.), allowing for clear visualization of how the fee changes with each category of weight.

Therefore, the best response is:

**weight; 10**