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marishachu [46]
3 years ago
15

Caroline is hosting a friend's go away party.She wants to offer 1 bag of chips to each guest.The graph shows the prices for diff

erent numbers of bags. What is the constant of proportionality in terms of price per bag​

Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

proportionality constant = $2 per bag

Step-by-step explanation:

Let the equation of the line representing relation between number of chips bags and total price of 'x' bags is,

y = mx + b

Here y-intercept b = 0 [Since this line passes through origin (0,0)]

Here 'm' = proportionality constant or price per bag

Equation will be,

y = mx

Now we select a point on the line that is (1, 2),

For a point (1, 2),

2 = 1 × m

m = 2

Therefore, constant of proportionality 'm' = $2 per bag

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Solve the system by substitution:<br> y = -3x + 10<br> y=-3x + 4<br> Please show the steps!
sergiy2304 [10]

Answer:

x=1, y=7

Step-by-step explanation:

y = -3x + 10 - first equation

y=-3x + 4 - second equation

rearrange the expression to

-3x-y= -10

3x-y= -4

pick an equation and simplify; lets pick the second equation

3x-y= -4

\frac{3x}{3} = \frac{-4+y}{3}  

divide 3 by both sides

x= \frac{-4+y}{3} - third equation

substitute the value of x into an equation; lets pick the first equation

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simplify. -3 cancels 3 so we are left with

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simplify

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4-2y= -10

subtract 4 from both sides

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divide -2 by both sides

y=7

substitute the value of y, (y=7) in an equation, we are using the second equation

3x-y= -4

3x-7= -4

3x = -4+7

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divide 3 by both sides

x=1

so the answer is x=1, y=7

5 0
3 years ago
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