Question

1. dantae took two measurements of a fountain in prospect park, one at a 1200 ft scale and one at a 400 ft scale. below are four measurements. 13 cm, 39 cm, 400 ft, 1200 ft explain the relationships between the four measurements.

Explanation:

Step1: Find the scale factor

The scale factor from 400 ft to 1200 ft is $\frac{1200}{400}=3$.

Step2: Relate the lengths

Since the scale factor is 3, if 13 cm corresponds to 400 ft, then $13\times3 = 39$ cm corresponds to 1200 ft.

Answer:

The 13 cm measurement is for the 400 ft scale and the 39 cm measurement is for the 1200 ft scale. The ratio of the scales (1200 ft to 400 ft) is 3, and the ratio of the lengths (39 cm to 13 cm) is also 3. So, the 13 cm - 400 ft and 39 cm - 1200 ft are corresponding measurements based on a scale factor of 3.