Question

show ratios using a double number line or a ratio table

1. a smoothie mix uses 3 strawberries for every 8 blueberries.

show at least three equivalent ratios.

1. a machine makes 9 parts every 4 minutes.

represent this ratio and show how many parts it makes in:

• 8 minutes
• 12 minutes

Explanation:

Problem 5 (Using Ratio Table)

Step1: Identify Original Ratio

The original ratio of strawberries to blueberries is \( 3:8 \).

Step2: Find First Equivalent Ratio (Multiply by 2)

Multiply both parts of the ratio by 2: \( 3\times2 = 6 \), \( 8\times2 = 16 \). So the ratio is \( 6:16 \).

Step3: Find Second Equivalent Ratio (Multiply by 3)

Multiply both parts of the ratio by 3: \( 3\times3 = 9 \), \( 8\times3 = 24 \). So the ratio is \( 9:24 \).

Step4: Find Third Equivalent Ratio (Multiply by 4)

Multiply both parts of the ratio by 4: \( 3\times4 = 12 \), \( 8\times4 = 32 \). So the ratio is \( 12:32 \).

Problem 6 (Using Ratio Table)

Step1: Identify Original Ratio

The original ratio of parts to minutes is \( 9:4 \).

Step2: For 8 minutes (Multiply by 2)

Since \( 4\times2 = 8 \), multiply the number of parts by 2: \( 9\times2 = 18 \). So in 8 minutes, it makes 18 parts.

Step3: For 12 minutes (Multiply by 3)

Since \( 4\times3 = 12 \), multiply the number of parts by 3: \( 9\times3 = 27 \). So in 12 minutes, it makes 27 parts.

Answer:

(Problem 5 Equivalent Ratios):
\( 3:8 \), \( 6:16 \), \( 9:24 \), \( 12:32 \) (any three of these)