Question

The SneakerRama Company makes and sells sneakers. They have one linear function that represents the cost of producing sneakers and another linear function that models how much income they get from those sneakers. Describe the key features that would determine if these linear functions ever intercepted.

Answer 1

the two slopes are the key features. If the slopes are different, the two linear function will intercept.

Answer 2

If the slope are not same then the linear function will intercept at some point.

Explanation:

We are given that:

The SneakerRama Company makes and sells sneakers.

They have one linear function that represents the cost of producing sneakers and another linear function that models how much income they get from those sneakers.

We have to find what key features that would determine if these linear functions ever intercepted.

If the slopes are not the same then the linear functions will intercept at some point.

`y_c =m_(c)x+b_c` cost function

`y_i=m_(i)x +b_i` income function

`m_c\\eq m_i`

There will be a point where a certain value of x, the number shoes sold, the cost of making the sneakers will be the same as the income from selling them.

Profit =
`y_i-y_c`

At that point the profit will be zero.