Mathematics, 21.08.2019 09:30, edwardordonez66

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)

Answers: 2

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Answers

answered: queentynaisa

Answer

D. y – 85 = 10(x – 8)

Explanation

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

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.

answered: Guest

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

answered: Guest

step-by-step explanation: the answer is 27. first multiply .32 by 25 which equals 8. then add 8 to 25 which gives you 33. then you subtract that from 6 since she gave 6 to her brother.

,, add !