Frank Rogers
03/27/2024 · Primary School
Question Drought has affected the local area for weeks. Before the drought began, the river had a depth of 12 feet. After 16 days no rain, the depth is now 10 feet. What is the slope in this situation? Do not include units in your answer.
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Tutor-Verified Answer
Step-by-step Solution
To find the slope in this situation, we can use the formula for slope, which is:
\[
\text{slope} = \frac{\text{change in depth}}{\text{change in time}}
\]
In this case, the change in depth is the initial depth minus the final depth:
\[
\text{change in depth} = 12 \text{ feet} - 10 \text{ feet} = 2 \text{ feet}
\]
The change in time is the number of days without rain:
\[
\text{change in time} = 16 \text{ days}
\]
Now we can calculate the slope:
\[
\text{slope} = \frac{2 \text{ feet}}{16 \text{ days}} = \frac{2}{16} = \frac{1}{8}
\]
Thus, the slope is:
\[
\frac{1}{8}
\]
Quick Answer
\(\frac{1}{8}\)
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