Which of the following options uses intercepts that have viable solutions?

Question

Option #1: (number of quarters, number of dimes)

Option #2: (human age, human weight)

Option #3: (height, shoe size)

(1 point)
Option #
uses intercepts that have viable solutions.
Remaining Attempts : 3
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Answer 1

To determine which of the options uses intercepts that have viable solutions, we should consider each pair of variables:

1. Option #1: (number of quarters, number of dimes)

   • Both the number of quarters and the number of dimes are non-negative integers. Therefore, it is reasonable to have intercepts at (0, y) and (x, 0), where x and y are the maximum numbers of quarters and dimes, respectively. This creates a viable solution.

2. Option #2: (human age, human weight)

   • While age can be non-negative and weight can be non-negative, these variables do not have a defined relationship that can create a meaningful intercept. For example, it would not make sense to have intercepts representing negative age or weight. Thus, this option doesn't have viable solutions.

3. Option #3: (height, shoe size)

   • Height and shoe size are related, but they also do not have a defined intercept in the same way as the first option. Here, negative values would not make sense either.

Given this analysis, the best choice that uses intercepts with viable solutions is Option #1: (number of quarters, number of dimes). So, the answer is:

Option #1 uses intercepts that have viable solutions.