Ok lets say
popcorn = x and
drinks = y
Jacob: 2x + 3y = 18.25
Zachary: 4x + 2y = 27.50
ok now you have to use these 2 equations to get the answer
4x + 2y = 27.50 ---> 2y = 27.50 - 4x ---> y = 13.75 - 2x
2x + 3y = 18.25
2x + 3(13.75-2x) = 18.25
2x + 41.25 - 6x = 18.25
-4x + 41.25 = 18.25
-4x = -23
x = 5.75 <u><em>One bag of popcorn is $5.75</em></u><em />
4x + 2y = 27.50
4(5.75) + 2y = 27.50
23 + 2y = 27.50
2y = 4.50
y = 2.25 <u><em>One drink is $2.25</em></u><em />
<h3>Answer:</h3>
F (3x, 3y)
<h3>Explanation:</h3>
Dilation about the origin multiplies each coordinate by the dilation factor. For some coordinates (x, y), dilation by a factor of 3 means the new coordinates are ...
... 3×(x, y) = (3x, 3y)
_____
<em>Comment on the problem</em>
The way the problem is worded, you expect an answer choice that will be specific to the coordinates of point A. There are none.
Instead, the answer choices are generic, corresponding to dilation of a point (x, y) by a factor of 3, translation up and to the right by 3, dilation by a factor of 1/3, and translation down and to the left by 3.
Answer:
x = 1
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 5 when x = 3
k = yx = 5 × 3 = 15, thus
y = 
← equation of variation
When y = 15 then
15 = ( multiply both sides by x )
15x = 15 ( divide both sides by 15 )
x = 1
