Question

The Flip-Flop-Alot Company makes and sells flip-flops. They have one linear function that represents the cost of producing flip-flops and another linear function that models how much income they get from those flip-flops. Describe the key features that would determine if these linear functions ever intersected.

Answer 1

@phi please help

Answer 2

have you ever heard of 2 lines that never intersect?

Answer 3

Yeah, parallel lines

Answer 4

and do you know that parallel lines have the same slope

Answer 5

yes

Answer 6

Describe the key features that would determine if these linear functions ever intersected.

you know the "key feature" that means they don't intersect... they won't intersect if they have the same slope (unless they happen to be the *same* line)

so if you want them to intersect, what do you want them to have ?

Answer 7

opposite slopes?

Answer 8

that would work, but I think as long as the slopes are different, then they are *not* parallel lines.

if lines are not parallel, do they meet somewhere ?

Answer 9

yes

Answer 10

yes, so I think they want you to say the key feature is that the two
linear functions have different slopes

Answer 11

bw, when they say "linear function", that is a way to say, the "functions" are the equations of a line.