Two bike rental companies have different pricing systems. company a charges a flat fee of $4 plus $2 per mile. company b does not charge a flat fee but charges $2.80 per mile driven. at what distance do both companies charge the same amount?

it will the take 5 mitutes

Step-by-step explanation:

Let x represent the distance at which both companies charge the same amount.

Let y represent the cost of x miles when using company A.

Let z represent the cost of x miles when using company B.

Company A charges a flat fee of $4 plus $2 per mile. It means that

y = 4 + 2x

Company b does not charge a flat fee but charges $2.80 per mile driven. This means that

z = 2.8x

To determine the distance before both plans will be be the same, we would equate both equations. It becomes.

4 + 2x = 2.8x

2.8x - 2x = 4

0.8x = 4

x = 4/0.8 = 5

check the picture below.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.