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ExtremeBDS [4]
3 years ago
15

A hiker begins in a valley at 150 feet below sea level. When the hiker reaches the highest point on the trail, he is 579 feet ab

ove sea level. What is the change (in feet) in elevation of the hiker?
Mathematics
1 answer:
RoseWind [281]3 years ago
5 0

We have been given that a hiker begins in a valley at 150 feet below sea level. When the hiker reaches the highest point on the trail, he is 579 feet above sea level. We are asked to find change (in feet) in elevation of the hiker.

To find change in hiker's elevation we will subtract hiker's initial elevation from hiker's elevation at the end of trail.

\text{Change in elevation}=579--150

We are subtracting negative 150 because at the beginning of trail hiker was 150 feet below sea level.

\text{Change in elevation}=579+150

\text{Change in elevation}=729

Therefore, the change in hiker's elevation is 729 feet.


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Let's break this sentence down.

Thirty less than means [whatever goes before] minus 30.

Negative fifteen is -15.

Times a number means multiplying by a number. The number will be a variable. And in this case, the variable will be x.

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Negative three is -3.

Times a number means multiplying by a number (in case you forgot or get confused, I wrote it again). That number will be a variable; x. This is the same number.

Now let's write down the equation.

Let's break both sides of the inequality, meaning the left side of 'greater than' and the right side.

The left side says this; "thirty less than negative fifteen times a number."

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So the left side of the inequality is -15x - 30.

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So the right side of the inequality is -3x + 54.

So the full inequality is -15x - 30 > -3x + 54.

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