Question

Justin is considering two websites for downloading music.The costs are detailed here.

Website 1: a yearly fee of $30 and $1.50 for each download

Website 2: $2 for each download

What is a system of equations to represent the costs for one year?

Express your equations in the form of y=mx+b where x is the number of downloads for the year and y is the total cost for the year.

Answer 1

Website 1 : y = 1.50x + 30 website 2 : y = 2x + 0 y = 4x - 4 y = -4x + 4 4x - 4 = -4x + 4 4x + 4x = 4 + 4 8x = 8 x = 1 y = 4x - 4 y = 4(1) - 4 y = 4 - 4 y = 0

Answer 2

If we are to express the linear equation in slope-intercept form wherein the slope is the cost per download and y is the total cost. The answer should be,

Website 1: slope = 1.5 and y-intercept = 30

The equation that would represent the given is,

y = 1.5x + 30

Website 2: If we consider that there is no additional cost for this except for the cost per downloaded music then, the equation would be,

y = 2x