Reynaldo receives a $100 gift card that can be used to purchase music on the internet. The songs that he can choose from each cost $2.00. This is the graph of the relationship between the number of songs purchased and money available on Reynaldo's gift card.
Derive an equation that can be used to represent the relationship shown in the graph. Define the variables in your equation.
Answers
plem ates desi 12msndksme 100 lendodnk 2.00
Given : Reynaldo receives a $100 gift card that can be used to purchase music on the internet. The songs that he can choose from each cost $2.00
To Find : an equation that can be used to represent the relationship shown in the graph
Solution:
Amount Left / available = y
Songs purchased = x
Linear equation
y = mx + c
y = 100 when x = 0
=> 100 = 0 + c
=> c = 100
hence
y = mx + 100
y = 0 when x = 50
=> 0 = 50m + 100
=> 0 = m + 2
=> m = - 2
y = -2x + 100
=> 2x + y = 100
2x + y = 100
or y = 100 - 2x
relationship shown in the graph.
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