Question

A store sells CDs at one price and DVDs at another price. The figure below shows the revenue (in dollars) of the music as a function of the number, c, of CDs and the number, d, of 0 be ગો, 8 1. What is the price of a CD? 3 What is the price of a DVD? b.

Answer 1

Let the price of each CD be x dollars and the price of each DVD be y dollars.

The given figure shows the revenue (in dollars) of the store as a function of the number, c, of CDs and the number, d, of DVDs it sells.

From the figure, we get that the revenue obtained by selling 100 CDs and 0 DVD is 1000 dollars that means

1000 100.c + (O)y = 1000 = 100.2 = 1000 = I= 10 100

From the figure, we get that the revenue obtained by selling 0 CD and 140 DVDs is 2000 dollars that means

$(0)x+140y=2000\Rightarrow 140y=2000\Rightarrow y=\frac{2000}{140} \Rightarrow y\approx 14$

The price of a CD is 10 dollars.

The price of a DVD is 14 dollars.