Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 4 units wide, labeled with 8 and 4 respectively.
Scale: 1 box = 5 meters
Reproduce the scale drawing of a playground so that it has a scale of 1 box = 20 meters. Which drawing shows the new scale?
(1 point)
Responses
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively. Scale: 1 box = 20 meters
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The correct answer is:
A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively. Scale: 1 box = 20 meters
Use Proportional Relationships Unit Test
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Question
Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 7 units long and 3 units wide, labeled with 7 and 3 respectively.
Scale: 1 box = 4 inches
Ana Maria needs to convert this scale drawing from a scale of 1 box = 4 inches to a scale of 1 box = 2 inches. The width in the scale drawing shown is 3 boxes. What will be the width in boxes of the new drawing?
(1 point)
Responses
9
9
6
6
14
14
1.5
To convert the scale from 1 box = 4 inches to 1 box = 2 inches, we need to divide the width in the original scale (3 boxes) by the ratio of the new scale to the original scale.
The new scale is 1 box = 2 inches, which is half of the original scale (1 box = 4 inches).
Therefore, we divide 3 boxes by 2:
3 boxes ÷ 2 = 1.5
So, the width in boxes of the new drawing will be 1.5.
Teresa estimates that the height of a giraffe in a zoo is 18 feet. In fact, it is 16 feet tall. What is Teresa’s percent error? Use proportional relationships to solve the problem. Be sure to show all your work, provide your answer as a percentage, and round your answer to the nearest tenth.(4 points)
To find Teresa's percent error, we first need to calculate the difference between her estimate and the actual height of the giraffe:
Actual height: 16 feet
Estimated height: 18 feet
Difference = Actual height - Estimated height
Difference = 16 - 18
Difference = -2
The negative sign indicates that Teresa's estimate was too high.
Next, we need to find the absolute value of the difference:
|Difference| = |-2| = 2
To calculate the percent error, we divide the absolute value of the difference by the actual value and then multiply by 100:
Percent Error = (|Difference| / Actual value) * 100
Percent Error = (2 / 16) * 100
Percent Error = 0.125 * 100
Percent Error = 12.5
Therefore, Teresa's percent error is 12.5%.