Question

Charlotta subscribes to the Hot Burn music service. She can download no more than 16 song files per week. Charlotta has already downloaded 13 songs files this week. Write, solve, and graph an inequality to show how many more songs Charlotta can download.

A) x≤3
B) x≥3
C) x≤16
D) x≥16

Answer 1

The inequality that represents how many more songs Charlotta can download is x ≤ 3. She can download a maximum of 3 more songs.

Step-by-step explanation:

The student's question is about writing and solving an inequality based on the given scenario. Charlotta can download no more than 16 songs per week. If she has already downloaded 13 songs this week, to find out how many more songs she can download, we subtract the number of songs already downloaded (13) from the maximum allowed (16).

The inequality representing this situation is x ≤ 3, where 'x' is the number of songs Charlotta can still download this week. This inequality means that Charlotta can download 3 or fewer songs to stay within her limit.

To solve the inequality, we consider any whole number value of 'x' that is less than or equal to 3, which could be 0, 1, 2, or 3. As for graphing the inequality on a number line, you would draw a closed circle at 3 and shade all the numbers to the left of 3 to indicate all possible values of x that satisfy the inequality.