Manuel builds and sells wooden crates. he made a table to show how much his crates cost.
which equation represents the situation?
manuel’s crates
crates
2 4 6 8
cost 25 45 65 85
a.
y – 2 = −10(x – 25)
b.
y – 4 = 10(x – 45)
c.
y – 65 = −10(x – 6)
d.
y – 85 = 10(x – 8)

D.  y – 85 = 10(x – 8)

First we are going to find the slope of the line equation that represents the situation. To do it we are using the slope formula:

where

is the slope of the line

are the coordinates of the first point

are the coordinates of the second point

From our table we can get the points (2, 25) and (4, 45) so , , , and . Let's replace the values in our formula:

Now that we have our slope, we are going to use the point slope formula:

Since the slope of our line is positive 10, we can rule out answers A and C.

Since the line of answer B has the numbers 4 and 45, we are going to test the point (4, 45) in our point slope formula:

  Nope! Answer B is not correct.

Since the line of answer D has the numbers 8 and 85, we are going to test the point (8, 85) in our point slope formula:

 We got the same line, so D is the correct answer.

how is that middle school

step-by-step explanation: