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A music club charges an initial joining fee of $24.00. The cost per CD is $8.50. The graphshows the cost of belonging to the club as a function of CDs purchased. How will the graphchange if the cost per CD goes up by $1.00?

A music club charges an initial joining fee of $24.00. The cost per CD is $8.50. The-example-1

1 Answer

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We can model the problem as a linear equation in the slope-intercept form:


y=mx+b

Where:

m = Slope = Cost per CD = 8.50

x = Number of CDs purchased

y = Total cost

b = y-intercept = Initial joining fee = 24

Therefore, the equation is:


y=8.50x+24.00

If the cost per CD (m ) goes up by $1.00:


y=9.5x+24

A music club charges an initial joining fee of $24.00. The cost per CD is $8.50. The-example-1
A music club charges an initial joining fee of $24.00. The cost per CD is $8.50. The-example-2
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