Question

The Brown family needs to rent a truck for their upcoming move. Express Movers will charge them $25 for the first day and $0.80 for every mile. Smith & Smith Co. will charge $35 for the first day and $0.60 for every mile. Before deciding which service to use, Mrs. Brown wants to find out how many miles would make the two choices equivalent in cost. The following equations represent this situation.

Answer 1

Express moving: y=4/5x+25Smith and Smith Co: y=3/5x+35
4/5x+25=3/5x+35Subtract 25 from both sides:4/5x=3/5x+10Subtract 3/5x from both sides1/5x=10x=50
50 miles would make the two choices equivalent (65$)

Answer 2

Hello there!

I hope you are having a good day!

I would be happy to help!


Your question states:The Brown family needs to rent a truck for their upcoming move. Express Movers will charge them $25 for the first day and $0.80 for every mile. Smith & Smith Co. will charge $35 for the first day and $0.60 for every mile. Before deciding which service to use, Mrs. Brown wants to find out how many miles would make the two choices equivalent in cost. The following equations represent this situation.


The equations are:

y=4/5x + 25

y=3/5x + 35

We can figure out the answer by graphing! 

I have attached the graph below.

We will find the answer by looking for the point where the lines intersect.

The lines intersect at (50, 65)

Both cost $65 at 50 miles.


Hope I helped!

Let me know if you need anything else!

~ Zoe