Service A charges a $2 pick up fee plus $2 per mile service B charges a $3 pick up fee plus $1 per mile at what point do both services charge the same amount?

Question

I need the equations. I need to graph the lines.

Answer 1

 

 

 

1)  yA = 2*x + 2               where: yA = service A charges ($)

                                                    x = number of miles

 

2)  yB = 3*x + 1               where: yB = service B charges ($)
                                                    x = number of miles

 

 

Setting service A charge equal to service B charge and solving for d:

 

yA = yB

 

$2 + ($2/mi)*d = $3 + ($1/mi)*d

 

($1/mi)*d = $1

  

d = $1/($1/mi) = 1 mile

 

The services charges are equal at just 1 mile.