QUESTION IMAGE
Question
the passage below describes two friends creating a physical model of the solar system. read the passage and then answer the questions below. ashley and tina are creating a model showing the distances between earth, the moon, and the sun. they choose a blue ball to represent earth, a gray ball to represent the moon, and a yellow ball to represent the sun. ashley and tina take the balls to the middle of a large field at their school. they know that earth is about 240 thousand miles from the moon and about 93 million miles from the sun. in their model, they choose to represent one million miles with one step. click the blue words to correct the following statements. the yellow ball is in the center of the field. tina wants to represent the distance from the earth to the sun. so, she should hold the blue ball 93 inches away from the yellow ball. ashley wants to represent the distance between the earth and the moon. so, she should hold the gray ball 4 inches away from the blue ball.
Step1: Correct Earth-Sun distance unit
The scale is 1 million miles = 1 step, not inches. Earth is 93 million miles from the Sun, so the distance is 93 steps.
Original incorrect part: "93 inches" → Corrected: "93 steps"
Step2: Correct Earth-Moon distance value
First convert 240 thousand miles to millions: $240,000 = 0.24$ million miles. At 1 step per million miles, the distance is $0.24$ steps, or 2.4 tenths of a step, but more simply, 240 thousand miles is $\frac{240}{1000}=0.24$ million miles, so 0.24 steps, which is often represented as 24 hundredths, but for the model, the correct scaled value is 0.24 steps, or in the context of the statement, replacing "4 inches" with "0.24 steps" (or $\frac{6}{25}$ steps).
Original incorrect part: "4 inches" → Corrected: "0.24 steps"
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- Corrected statement 1: The yellow ball is in the center of the field. Tina wants to represent the distance from the Earth to the Sun. So, she should hold the blue ball 93 steps away from the yellow ball.
- Corrected statement 2: Ashley wants to represent the distance between the Earth and the moon. So, she should hold the gray ball 0.24 steps away from the blue ball.