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const2013 [10]
3 years ago
8

stephen is making curtains for several windows in his aunt's house. he determines that he needs 8.5 yards of fabric for each win

dow. write an equation to represent the number of yards of fabric needed given a certain number of windows
Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:

F(n) = 8.5*n yards, where n is the number of windows

Step-by-step explanation:

Suppose the house of Stephen's aunt has n windows.

Since he needs 8.5 yards of fabric for each window, then he needs 8.5 times n yards of fabric for the n windows.

Call F(n) the yards of fabric he needs for the n windows, then

F(n) = 8.5*n

For example, if auntie's house had 4 windows, then

F(4) = 8.5*4 = 34 yards.

If auntie's house had 6 windows

F(6) = 51 yards.

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The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).

<h3>What is the Point-slope form?</h3>

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

we know that            

The equation of the line into point-slope form is equal to                        

y-y₁ = m(x-x₁)

             

we have          

(x₁, y₁) = (4, 1/3)

m = 3/4

 

substitute the given values                

y-y₁ = m(x-x₁)

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y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)

Thus, option A is correct.

Learn more about slope;

brainly.com/question/13458632

#SPJ1

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