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3 years ago

1. 8x-2y = -24

Mathematics

1 answer:

mel-nik [20]3 years ago

7 0

Answer:

8x-2y = -24

Step-by-step explanation:

Slope = 34

Y-intercept = 7

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Members of the student concil are conducting a fundraiser by selling school calendars. After selling 80 calendars, they had a lo

Oksana_A [137]

Answer:

a) $y=8x-1000$

b) $profit=\$8$

c) They'd have lost $1000 if they had sold no calendars.

Step-by-step explanation:

a) The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

In this case we know that "y" represents the profit of loss and "x" the number of calendars sold.

Then, according to the exercise, the line passes through these two points:

$(80,-360)$ and $(200,600)$

Then, we can find the slope of the line with the formula $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-360-600}{80-200}=8$

Now, we can substitute the slope and one of those points into $y=mx+b$ and solve for "b":

$600=8(200)+b\\\\b=-1000$

Then, subtituting values, we get that the equation that describes the relation between the profit of loss and the number of calendars sold, is:

$y=8x-1000$

b) The slope of the line is the profit they made from selling each calendar

$profit=8$

c) The y-intercept is the amount they would have lost if they had sold no calendars:

$b=-1000$

They'd have lost $1000 if they had sold no calendars.

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3 years ago

Tannin and Dax bought a new video game for $48 to use the coupon for 25% off how much would the game cost if they paid full pric

olchik [2.2K]

Answer:

$64

Step-by-step explanation:

After using a 25% discount coupon, they paid 48 for the video game.

It means, <em>which number, decreased by 25%, would give us 48?</em>

<em />

First, 25% to decimal is:

25/100 = 0.25

Now, if we let the original price be "x", we can say:

x decreased by 0.25 of x would give us 48

Translating this to algebraic equation gives us:

x - 0.25x = 48

Now, we solve this:

$x - 0.25x = 48\\0.75x=48\\x=\frac{48}{0.75}\\x=64$

If they paid full price, the video game would cost $64

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3 years ago

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Answer:

answer is 38 yd

Step-by-step explanation:

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