Horton Chavez
01/06/2023 · Senior High School
Question A retiree decided to pick up gardening and planting trees as a hobby. A new tree was planted, standing at just 30 inches tall. After 8 years, the tree is now 70 inches tall. What is the slope in this situation? Do not include units in your answer.
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the slope in this situation, we can use the formula for slope, which is given by:
\[
\text{slope} = \frac{\text{change in height}}{\text{change in time}}
\]
In this case, the change in height of the tree is:
\[
70 \text{ inches} - 30 \text{ inches} = 40 \text{ inches}
\]
The change in time is:
\[
8 \text{ years} - 0 \text{ years} = 8 \text{ years}
\]
Now we can calculate the slope:
\[
\text{slope} = \frac{40 \text{ inches}}{8 \text{ years}} = 5
\]
Thus, the slope is \( \boxed{5} \).
Quick Answer
The slope is 5.
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