Answer :
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.
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