The product of the cost per DVD and the number of DVDs sold can be written as 15d.
Inequality: 15d>5500 Solution Set: d>366.67 Interpretation: The band sold at least 367 DVDs.
Practice makes perfect
To find the solution for this exercise, we will need to translate the given information into algebraic symbols and operations. There are three key phrases we will use to find our solution.
more than
$5500
$15 band DVD
The phrase more than can be expressed as >. This symbol will be at the center of our inequality.
... > ...
Coming immediately after the more than is the amount of money that was raised, $5500. This should be expressed on the right-hand side of the inequality.
... > 5500
We are also told that each DVD costs $15. Let's call the number of DVDs sold d. The product of the cost per DVD and the number of DVDs sold can be written as 15d. The band boosters sold more than $5500 worth of DVDs, so let's write the final inequality.
15d > 5500
To find the cost per DVD, we will solve the inequality by isolating the d.
