Question

Ashley can buy a number of boxes of candy, b, as represented by the inequality 2.50b < 30. How many boxes of candy can she buy? Select three that are correct.

Answer 1

0 to 14

Answer 2

To find out how many boxes of candy (b) Ashley can buy, we can solve the inequality:

\[ 2.50b < 30 \]

First, divide both sides of the inequality by 2.50:

\[ b < \frac{30}{2.50} \]

Calculating the right side:

\[ b < 12 \]

This means that Ashley can buy fewer than 12 boxes of candy. The integer values for b that satisfy this inequality are:

\[ b = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 \]

Thus, Ashley can buy **12 different amounts (from 0 to 11 boxes)**.

So, if you're asked to select three correct options, you could choose any three numbers from the range 0 to 11 (for example, 1, 5, and 11, or 0, 6, and 10).

Answer 3

Let's clarify the situation regarding the inequality \(2.50b < 30\) and how many boxes of candy Ashley can buy.

We previously derived that:

\[
b < 12
\]

This means that Ashley can buy boxes of candy from 0 to 11 since she can't buy a fraction of a box.

**To recap**:
- **Valid integer values for \(b\) (the number of boxes Ashley can buy):** 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 (total of 12 integers).

If you're referring to multiple choices for how many boxes Ashley can buy, it would be any three numbers that fit in this range (0-11), but not extending to 14, as 12, 13, and 14 do not qualify under the inequality. Therefore, the correct choices must be within the 0 to 11 range.

If you need more clarifications or have specific options in mind, please provide them!