Question

seans bottle can hold up to 16 ounces of juice. draw a number line to represent the ounces of juice the bottle can hold. any value less than or equal to 16\
b < 16\
b = 16\
number line with marks at 12,13,14,15,16,17,18,19,20

Explanation:

Step1: Understand the inequality

The bottle can hold any value less than or equal to 16 ounces, which is represented by \(b\leq16\).

Step2: Represent on the number line

• First, identify the point 16 on the number line.
• Since the inequality is "less than or equal to", we use a closed (filled - in) circle at 16 to indicate that 16 is included in the solution set.
• Then, we draw an arrow to the left of 16 to represent all the values less than 16 (because those values are also part of the ounces the bottle can hold).

Answer:

To represent the ounces of juice the bottle can hold (\(b\leq16\)) on the given number line:

1. Place a closed (filled) circle at 16 (because 16 is included as the bottle can hold up to 16 ounces).
2. Draw an arrow starting from the closed circle at 16 and extending to the left (towards 12, 13, 14, 15, and beyond) to show all values less than or equal to 16.