Question

lesson: modeling similar figures in real - world contexts us... a banner is 2 feet by 6 feet and is scaled up to 8 feet by 24 feet. what is the scale factor? a. 5 b. 3 c. 4 d. 2 if a building model is scaled down to 1/50th of the actual size, what is the scale factor? a. 1/10 b. 1/100 c. 1/50 d. 1/20 review key concepts

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ is given by the ratio of the corresponding side - lengths of the new figure to the original figure.

Step2: Calculate scale factor for the banner

For the banner, the original dimensions are 2 feet by 6 feet and the new dimensions are 8 feet by 24 feet. Taking the ratio of the corresponding side - lengths, if we take the first side: $k=\frac{8}{2}=4$ (we could also take the ratio of the second side $\frac{24}{6} = 4$). So the scale factor for the banner is 4.

Step3: Calculate scale factor for the building model

If a building model is scaled down to $\frac{1}{50}$ of the actual size, the scale factor is $\frac{1}{50}$.

Answer:

1. c. 4
2. $\frac{1}{50}$ (assuming the correct option is supposed to be $\frac{1}{50}$ and there is a mis - type in the options provided)