Question

the passage below describes a student creating a physical model of earths rotation. tony is creating a model showing how earth rotates over the course of one day. he uses a globe to represent earth. tony knows that earth spins on its axis, completing one rotation every 24 hours. he slowly spins the globe counterclockwise, completing one rotation in about 6 seconds. in tonys model, 1 second of rotation represents about hours.

Explanation:

Step1: Set up ratio

We know that 6 seconds of model - rotation represents 24 hours of Earth - rotation. Let \(x\) be the number of hours that 1 second of model - rotation represents. We set up the ratio \(\frac{6}{24}=\frac{1}{x}\).

Step2: Cross - multiply

Cross - multiplying the ratio \(6x = 24\times1\).

Step3: Solve for \(x\)

Dividing both sides of the equation \(6x = 24\) by 6, we get \(x=\frac{24}{6}=4\).

Answer:

4