Question

A local store’s clearance rack is full of DVDs selling for $8 each and CDs selling for $6 each. Let x represent the number of DVDs, and let y represent the number of CDs. Which inequality can be used to find combinations of DVDs and CDs that can be bought with a $50 gift card?

Answer 1

Answer:

$8x+6y\leq 50$

Step-by-step explanation:

Let

x------> the number of DVDs

y------> the number of CDs

we know that

$8x+6y\leq 50$ -------> inequality that represent the situation

The solution is the shaded area below the solid line between the positive values of x and y

The equation of the line is $8x+6y=50$

The slope of the line is negative

The y-intercept of the line is the point $(0,8.33)$

The x-intercept of the line is the point $(6.25,0)$

The solution is the triangular area in the attached figure

Answer 2

Let x represent the number of DVDs and y represents the number of CDs.
DVDs are sold for 8$ and CDs are sold for 6$.
If you have 50$ to buy gift cards then the following inequality should be satisfied:
8*x+6*y<50