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Vsevolod [243]
3 years ago
15

the U.S. Census Bureau states that in 2010 the average commute time for Wake County workers was 23.9 minutes and in 2016 the ave

rage was 25 minutes. What was the percentage increase in average commute times between these years? Write your answer as a percentage rounded to two decimal places, but do not include the % symbol.
Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0
<h3>Answer:  4.60%</h3>

====================================================

Explanation:

We'll ignore the year numbers (2010 and 2016).

The difference in time values is 25-23.9 = 1.1 minutes

Divide this over the first time value to get (1.1)/(23.9) = 0.046025

Moving the decimal point over to the right 2 spots gets us 4.6025% which then rounds to 4.60% when rounding to two decimal places.

-----------------

As a way to verify the answer:

4.60% of 23.9 = 0.046*23.9 = 1.0994

Increasing by 4.60% means the time value has increased by roughly 1.0994 minutes. So we go from 23.9 to 23.9+1.0994 = 24.9994 which is fairly close to 25 minutes. There's a bit of rounding error, but we have effectively confirmed the answer.

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Rewrite each expression without using absolute value notation |7m-56| if m&lt;8
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Considering the definition of the absolute value function, the expression is written as -7m + 56.

<h3>What is the definition of the absolute value function?</h3>

The absolute value function is defined as follows:

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That is, where the expression is negative, it is multiplied by -1, while where it is not negative the expression is kept.

In this problem, the expression is:

|7m - 56|

For m < 8, we have that one example is m = 0:

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The expression is negative, hence the signal is changed, that is:

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More can be learned about the absolute value function at brainly.com/question/24734454

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Step-by-step explanation:

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