Hi! ⋇
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All proportions have <u>this</u> <u>form</u>:
, Where 
is equal to 
.
If 
, it's <u>not</u> a proportion.
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Here we have two pairs of numbers:
40,10 and 32,8.
Written As a <u>proportion</u>, they <em>look like</em> :
Hope this made sense to you :)
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Answer:
B) -x+8y=56
Step-by-step explanation:
y=1/8x+7
Multiply by 8 to clear the fraction
8y = 8(1/8x+7)
Distribute
8y = 8*1/8x +8*7
8y = x+56
Subtract x from each side
-x+8y = x-x+56
-x+8y = 56
P and q-1 are factors because a factor is something you multiply. <span />
let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
