James is selling candy bars for a band fundraiser. He can earn prizes if he sells at least [tex]$150[/tex] worth of candy. Each candy bar costs [tex]$3[/tex]. James' parents already bought [tex]$21[/tex] worth of candy bars.

Which inequality shows how many candy bars James still needs to sell?

A. [tex]3c + 21 \geq 150[/tex]

B. [tex]21c + 3 \geq 150[/tex]

C. [tex]3 + 21 \leq 150c[/tex]

D. [tex]3c + 21 \leq 150[/tex]

To determine how many candy bars James still needs to sell, we need to set up an inequality based on the information given:

1. Cost of Each Candy Bar: Each candy bar costs [tex]$3.

2. Goal Before Prizes: James needs to sell at least $[/tex]150 worth of candy.

3. Initial Purchase by Parents: James' parents have already bought [tex]$21 worth of candy bars.

We need to find how much more James needs to sell to meet the $[/tex]150 goal. We can set up an inequality to represent this situation:

- Let's use [tex]$ c $[/tex] to represent the number of additional candy bars James needs to sell.
- The amount James makes from these additional sales is [tex]$ 3c $[/tex] (since each candy bar sells for [tex]$3).
- Including the $[/tex]21 already sold by his parents, the total amount James earns is represented by [tex]$ 3c + 21 $[/tex].

To meet the goal of [tex]$150, James' total sales (including what his parents bought) should be at least $[/tex]150. The inequality for this situation is:

[tex]\[ 3c + 21 \geq 150 \][/tex]

This inequality shows how many more candy bars James needs to sell to reach or exceed his $150 goal.