Question

PLEASE HELP!!!!

Manuel builds and sells wooden crates. He made this table to show how much his crates cost in dollars.
Number of crates: 2 4 6 8
Cost ($): $25 $45 $65 $85

Identify the location where Manuel's number of crates equals zero in the format (x,y).

Answer 1

I took the test and the answer is: y - 85 = 10 (x - 8)

Answer 2

So there are two ways I see this problem.

First as trick question kinda, due to the fact that it is a word problem and the way it is setup would make me think the answer is 0,0. You don't pay anything for 0 crates.

The other way is by graphing it.
We can take the points and just plug it into
`y=xm+b`

First lets solve for for
`m= (y2-y1)/(x2-x1)`

putting in point one and two on the table here gives us 10

The problem here is we don't know the Y intercept which makes finding the equation a tad harder, we are going to have to find to find that as well. It is pretty simple though we can just plug in a random point to make it a solvable problem
`25=2*10+b`. We can then work this out to b = 5

From there we have found the equation with it being
`y=x10+5`. Putting that into our graph gives us a Y intercept of 5 and a X intercept of -0.5.

Sorry if I went a bit far there, hope you can figure the problem with one of those.