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Problem-Solving and Data Analysis / Ratios, rates, proportional relationships, and units Difficulty: Hard

The speed of a vehicle is increasing at a rate of $7.3$ meters per second squared. What is this rate, in miles per minute squared, rounded to the nearest tenth? $left parenthesis Use 1 mile equals 1,609 meters period right parenthesis$

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Explanation

Choice B is correct. It's given that the speed of a vehicle is increasing at a rate of $7.3$ meters per second squared. It's given to use $1 mile equals 1,609 meters$ . There are $60$ seconds in $1$ minute; therefore, $60 squared$ or $3,600$ seconds squared is equal to $1$ minute squared. It follows that the rate of $7.3$ meters per second squared is equivalent to $(\frac{7.3 meters}{1 second squared}) (\frac{1 mile}{1,609 meters}) (\frac{3,600 seconds squared}{1 minute squared})$ , or approximately $16.33 miles per minute squared$ . The rate, $in miles per minute squared$ , rounded to the nearest tenth is $16.3$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.