The expression that represents the total amount spent as a function of the number of points earned is y = 25 + 0.5x This function is only valid for 25 or plus points since that is the minimum amount one can have after purchase.
A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
We will first calculate the function that relates the number of points earned and the total spent x. This is given by:
y = f(x) = 25 + x/2
In order to calculate the function that represents the total spent as a function of points earned we need to isolate the variable x, in the expression above. We have:
y = 25+ x/2
y = 25 + 0.5x
The expression representing the total amount spent as a function of the number of points earned is y = 25 + 0.5x This function is only valid for 25 or plus points since that is the minimum amount of points one can have after purchase.
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