Question

Question: 2. Select All Of The Scales That Are Equivalent To 3 Cm To 15 M. Explain Your Thinking. A. 3 In. To 15 In. D. 4 Mm To 2 M E. 1 In. To 5 Ft B. 1 Cm To 5 M C. 3 M To 15 Cm

Answer 1

Scales B (1 cm to 5m) and D (4mm to 2m) are equivalent to the scale of 3cm to 15m. These scales have the same ratio of 1:500 as the given scale when simplified.

Step-by-step explanation:

To determine scales that are equivalent to the scale of 3cm to 15m, we first need to understand that this is a ratio. 3cm to 15m is the same as 3:1500 (since 1m = 100cm). So, we are searching for ratios that simplify to this ratio.

• A. 3 in. To 15 in.
• : This is equivalent to 3:15, which simplifies further to 1:5 which is not the same as the ratio we are looking for (3:1500), or 1:500.

• B. 1 Cm To 5 M.
• When we convert 5m into cm, we get 500cm. So, the ratio is 1:500 which is the same as our required ratio.

• C. 3 M To 15 Cm.
• This ratio is 300:15, or 20:1, which is not the same as 3:1500.

• D. 4 Mm To 2 M.
• This equates to 4:2000 or 1:500 after simplifying, which is the same as our required ratio.