Answer:
8 1/6 times as much roadway
Explanation:
The problem statement is giving you two numbers and telling you one of them is some factor larger than the other. It asks for that factor.
Relation
The question asks for the value of "k" in ...
Union Center has k times more miles than Amanville
6·7³ = k·(6²·7) . . . . . . using the given numbers of miles
Solution
As with all one-step linear equations, the solution is found by dividing by the coefficient of k. You can take advantage of the fact that an exponent signifies repeated multiplication. You can also cancel common factors from the numerator and denominator of a fraction.
Union Center has 8 1/6 times as many roadway miles as Amanville.
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Additional comment
The words "larger" and "more" often signify addition:
- 5 is 2 larger than 3
- 5 is 2 more than 3
However, these same words often show up in ways that should be interpreted as multiplication:
- 6 is 2 times larger than 3
- 6 is 2 times more than 3
The ambiguity that can be involved here suggests a better wording is ...
6 is 2 times as large as 3.