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timofeeve [1]
3 years ago
10

Manuel builds and sells wooden crates. He made a table to show how much his crates cost.

Mathematics
2 answers:
hram777 [196]3 years ago
4 0
<h2>Answer</h2>

D.  y – 85 = 10(x – 8)

<h2>Explanation</h2>

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:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

where

m is the slope of the line

(x_{1},y_{1}) are the coordinates of the first point

(x_{2},y_{2}) are the coordinates of the second point

From our table we can get the points (2, 25) and (4, 45) so x_{1}=2, y_{1}=25, x_{2}=4, and y_{2}=45. Let's replace the values in our formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{45-25}{4-2}

m=\frac{20}{2}

m=10

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

y-y_{1}=m(x-x_{1})

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:

y-45=10(x-4)   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:

y-85=10(x-8)  We got the same line, so D is the correct answer.

Sidana [21]3 years ago
3 0
C.
y - 65 = -10(x - 6)
is what i say it is but im not for sure, so sry if im wrong.
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