Question

modeling real life you have $25 to purchase apps on your cell phone. each app that you want costs $3.99. describe the numbers of apps you can purchase.

Explanation:

Step1: Define variable

Let \( n \) be the number of apps. The total cost of \( n \) apps is \( 3.99n \) dollars, and this must be less than or equal to \( 25 \) dollars. So we set up the inequality \( 3.99n \leq 25 \).

Step2: Solve the inequality

To solve for \( n \), we divide both sides of the inequality by \( 3.99 \): \( n \leq \frac{25}{3.99} \). Calculating \( \frac{25}{3.99}\approx6.265 \). Since the number of apps \( n \) must be a non - negative integer (you can't buy a fraction of an app), \( n \) can be \( 0, 1, 2, 3, 4, 5, 6 \).

Answer:

The number of apps \( n \) that can be purchased is a non - negative integer such that \( 0\leq n\leq6 \) (where \( n \) is an integer), or in other words, the possible number of apps are \( 0, 1, 2, 3, 4, 5, 6 \).