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

Answer 1

To determine which of the options uses intercepts that have viable solutions, let's analyze each one based on the context:

1. Option #1: (number of quarters, number of dimes) - Both of these values can be non-negative integers, where the intercepts would correspond to situations where all the money is in either quarters or dimes. This option has viable solutions.

2. Option #2: (human age, human weight) - Human age must be a non-negative value, but weight can vary widely. This option does not have meaningful intercepts; for instance, an age of 0 does not correspond to all possible values of weight.

3. Option #3: (height, shoe size) - Height is generally a non-negative value, while shoe size (though could be considered a non-negative integer) can have varied meanings. However, the relationship is not clearly dependent or independent in a meaningful way for intercepts.

Given this analysis, Option #1: (number of quarters, number of dimes) is the option that uses intercepts that have viable solutions.