Question

1. dantae measured a fountain in prospect park twice, using two different scales: a 1,200 - foot scale and a 400 - foot scale. we are given four possible measurements: 13 cm, 39 cm, 400 ft, and 1,200 ft. which one corresponds to the 1,200 ft scale, and why?

Explanation:

Step1: Analyze the scale relationship

The scale of 1200 - foot is 3 times the scale of 400 - foot (\(1200\div400 = 3\)).

Step2: Analyze the measurement relationship

Since the scale is larger, the corresponding measurement (in cm) should be smaller. Given \(39\div13=3\), so the 13 - cm measurement corresponds to the 1200 - foot scale.

Answer:

13 cm. Because the 1200 - foot scale is 3 times the 400 - foot scale, and 39 cm is 3 times 13 cm. A larger scale (1200 - foot) results in a smaller measurement (in cm) for the same actual object.