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On average, Susan downloads 60 songs per month. An online music vendor sells package prices for songs that can be downloaded onto personal digital devices. The graph below shows the package prices for the most popular promotions. Susan wants to know if she should buy her music from this company or pay a flat fee of $58.00 per month offered by another company. Which is the better buy? a. Find the constant of proportionality for this situation. b. Write an equation to represent the relationship. c. Use your equation to find the answer to Susan's question above. Justify your answer with mathematical evidence and a written explanation. Total Cost (in dollars)​

On Average Susan Downloads 60 Songs Per Month An Online Music Vendor Sells Package Prices For Songs That Can Be Downloaded Onto Personal Digital Devices The Gra class=

Sagot :

Answer:

A) at (5, 4.5) diving the cost by the number of songs purchased gets you $0.9 per song which is your constant

B) y = x(.9) ; x= number of songs purchased & y= total cost

C) using the equation to find the cost of buying each separatly

60 (.9) = $54

$54 is less than $58, So Susan should buy the songs seperatly.

A) Constant of Proportionality for the given situation is;

Constant of Proportionality = $0.9

B) The equation to represent the relationship in the question is;

y = 0.9x

C) Cost of 60 songs individually = $54. Thus, Susan is advised to pay individually and not with flat fee.

A) To get the constant of proportionality, let us pick a point coordinate on the graph. Let's pick (20, 18). This means;

Number of songs purchased = 20

Total Cost of 20 songs = $18

Constant of proportionality would be the cost per song; k = 18/20 =

$0.9 per song

B) Since the y-axis represents Total Cost and the x-axis represents number of songs purchased, then we can develop the relationship;

y = kx

where k is constant of proportionality which we have seen to be $0.9.

Thus, the equation to represent the relationship is;

y = 0.9x

C) Using the equation above, since she downloads 60 songs a month, then the total cost for this would be;

Total cost = 60 x 0.9

Total cost = $54

This cost of $54 is less than flat fee of $58 offered by another company. Thus, i would advice Susan to pay for each song separately instead of the flat fee.

Read more at; https://brainly.com/question/17247082

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