1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each ba
2 answers:
Answer:
Step-by-step explanation:
The relationship between the number of popcorn and drinks is linear relationshipThe 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 linearlyReasons:The given parameter are;Amount Judy took with her to spend on popcorn and drinks = $30Price of each bag of popcorn = $5Price of each drink = Half the price of a bag of popcorn∴ The price of each drink = (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 = 302.5·Y = 30 - 5·XWhich gives;Y = 12 - 2·XUsing 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 followsThe 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.
You might be interested in
The position of the kite with the point directly beneath the kite at the same
level with the hand and the hand for a right triangle.
- The height of the kite above the is approximately <u>66.314 feet</u>.
Reasons:
The height of his hands above the ground, h = 2.75 feet
Angle of elevation of the string (above the horizontal), θ = 26°
Length of the string, <em>l</em> = 145 feet
Required:
The height of the kite above the ground.
Solution:
The height of the kite above the ground is given by trigonometric ratios as follows;
Therefore;
The height of the kite above the, ≈ <u>66.314 feet</u>
Learn more about trigonometric ratios here: