The relationship between the number of popcorn and drinks is linear relationship
The responses are;
- (a) Please find attached the required graph created with MS Excel
- (b) From the graph, we have that as the number of bags of popcorn Judy buys increases, the number of drinks decreases linearly
Reasons:
The given parameter are;
Amount Judy took with her to spend on popcorn and drinks = $30
Price of each bag of popcorn = $5
Price of each drink = Half the price of a bag of popcorn
∴ The price of each drink = [tex]\dfrac{\$ 5 }{2} = \$ 2.5[/tex]
(a) Let X represent the number of bags of popcorn Judy buys and let Y represent the number of drinks she buys, we have;
5·X + 2.5·Y = 30
2.5·Y = 30 - 5·X
Which gives;
[tex]Y = \dfrac{30 - 5\cdot X}{2.5} = 12 - 2 \cdot X[/tex]
Using the above equation, the graph of popcorn and drinks bought by
Judy is plotted with MS Excel and attached here
(b) The data in the graph are presented as follows
- [tex]\begin{array}{|c|cc|} \mathbf{Bags \ of \ Popcorn}&&\mathbf{Drinks}\\0&&12\\1&&10\\2&&8\\3&&6\\4&&4\\5&&2 \\6&&0\end{array}\right][/tex]
The point corresponding to the y-intercept is the point that gives the
maximum number of drinks Judy can buy if she does not buy popcorn is
12 drinks. The number of drinks she can buy reduces by 2 for each bag of
popcorn she buys, such that she can buy 6 bags of popcorn and no drinks
which is the x-intercept.
Learn more here:
https://brainly.com/question/12253730
