Sarah's mother has a miniature village model after her hometown. the worth is 10 feet long and 7 feet wide. the actual is 7 miles long. what is the village's actual width? if necessary, round to the nearest tenth of the mile.
A. 4.9****
B. 10
C. 1
D. 0.7
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correct
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To find the village's actual width, we can set up a proportion using the length of the model village and the actual length of the village:
Model village length / Actual village length = Model village width / Actual village width
We can fill in the given values into the proportion:
10 feet / 7 miles = 7 feet / x miles
To solve for x, we can cross-multiply and divide:
(10 feet) * (x miles) = (7 feet) * (7 miles)
10x = 49
Dividing both sides by 10:
x = 49/10
Rounding to the nearest tenth:
x ≈ 4.9
Therefore, the village's actual width is approximately 4.9 miles.
The correct answer is A. 4.9.
To find the village's actual width, we can set up a proportion using the relationship between the size of the model and the actual size of the village.
Let's assign variables to the model's dimensions:
Model's length: L (10 feet)
Model's width: W (7 feet)
We know the model's length is 10 feet and the actual length is 7 miles, so we can set up the following proportion:
L/miles = W/miles
Plugging in the values we know:
10 feet / 7 miles = W / miles
Now we can cross-multiply and solve for W:
10 * miles = 7 * W
Divide both sides by 7 to isolate W:
10 miles / 7 = W
W ≈ 1.429 miles
Rounding to the nearest tenth of a mile, the village's actual width is approximately 1.4 miles.
Therefore, the correct answer is not listed among the options given.