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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 amount; 1 amount; 1 weight; 1 weight; 1 weight; 10

1 answer

To define the quantity and scale for the x-axis of a piecewise linear graph of the fee structure, we first need to identify what the x-axis represents. In this case, the x-axis corresponds to the weight of the dog in pounds.

The weight categories specified in the fee structure are as follows:

  • Under 15 lbs
  • 15 to 50 lbs
  • 50 lbs or more (with an additional charge depending on weight above 50 lbs)

The scale for the x-axis should be suitable to represent these different weight categories effectively.

From the options provided:

  1. amount; 10
  2. amount; 1
  3. weight; 1
  4. weight; 10

The most fitting option is weight; 10. This choice indicates that the x-axis is measuring weight in pounds and that the scale is in increments of 10, which provides a clear representation of the various weight categories and the corresponding charges.

Therefore, the best choice is: weight; 10.