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.

(0,0) represents the very beginning of the rental period: 0 time has elapsed, and thus there is no charge.
(1,125) represents this situation 1 hour after the rental has begun, and shows that the amount due at that point for the rental is
$125.
The combined area of these three rooms is 189 ft².
Therefore we have the equation
4x + 3x + 2x = 189
9x = 189 |:9
x = 21 ft²
area of the kitchen = 4x = 4(21) = 84 ft²
area of the playroom = 3x = 3(21) = 63 ft²
area of the dinning room = 2x = 2(21) = 42 ft²
Answer:
why it in pink and ur supposed too x them then divide
Multiplying both sides by 3, we get (3/9)*(2m-16)=(2m+4). Next, we multiply both sides by 9 and expand to get 6x-48=18m+36. Subtracting 6x and 36 from both sides, we get 12x=-48-36=-84. After that, we divide both sides by 12 to get m=-7