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. (10 points)

Answer 1

key features are the slopes of both linear functions, if they are not equal then the two linear functions will be intercepted

Explanation:

Any linear function can be represented by the following linear equation:

y=mx+b

where m is the slope of function

and y in the intercept

Given:

The SneakerRama Company makes and sells sneakers.

They have one linear function that represents the cost of producing sneakers

Let it be represented by y₁=m₁x+b₁

and another linear function that models how much income they get from those sneakers

Let it be represented by y₂=m₂x+b₂

Now if m₁≠m₂

then the two functions will intercept at some point on the graph at some value of x. At that point the cost of producing sneakers will be equal to income they get from those sneakers.

y₂-y₁=0

This point is called the break-even point and the profit is zero at this point !