AnswersWV-Algebra I CRDimensional Analysis

Dimensional Analysis Answers

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The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explains whether or not the truck can pass safely under the bridge?

A
The truck can pass safely under the bridge. The truck is 13 inches shorter than the maximum height.
B
The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.
C
The truck can pass safely under the bridge. The truck is 12 inches shorter than the maximum height.
D
The truck cannot pass safely under the bridge. The truck is 12 inches taller than the maximum height.
3

Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?

A
Gym B charges $1.05 less per hour than Gym A.
B
Gym B charges $1.50 less per hour than Gym A.
C
Gym B charges $5.25 less per hour than Gym A.
D
Gym B and Gym A charge the same hourly rate for childcare.
6

A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile.

A
A deer is 10 miles per hour faster than a bison.
B
A bison is 10 miles per hour faster than a deer.
C
A deer is 0.66 miles per hour faster than a bison.
D
A bison is 0.66 miles per hour faster than a deer.
8

The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio. Will this give the Ruiz family the correct exchange? Explain.

Answer:

No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.

9

What did you include in your response? Check all that apply.

A
The rounded conversion will not give an accurate answer based on the limitations of the problem.
B
Using the more accurate conversion factor will give an answer that can then be rounded to 2 decimal places.
10

What errors did the coach make? Check all that apply.

A
He used an incorrect time ratio converting hours to minutes.
B
His units do not cancel.
C
He used an incorrect distance ratio converting miles to feet.
D
He incorrectly concluded that she is not running fast enough.
E
He cannot determine her average rate in miles per hour after only 15 minutes.

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Dimensional Analysis Answers — WV-Algebra I CR