Question
A mango is climbing to the top of a large, Clif the Cliffs is 50 feet higher than it’s starting point it takes the goat 22 minutes to climb this cliff. Interpret the quote to describe the rate of change in the goats elevation give your answer to the nearest hundred.
Answers
GPT-4o mini
To find the rate of change in the goat's elevation as it climbs the cliff, you can use the formula for rate of change, which is the change in elevation divided by the time taken.
The goat climbs a total height of 50 feet over a period of 22 minutes.
The formula is:
\[
\text{Rate of Change} = \frac{\text{Change in Elevation}}{\text{Time Taken}}
\]
Substituting the values:
\[
\text{Rate of Change} = \frac{50 \text{ feet}}{22 \text{ minutes}} \approx 2.2727 \text{ feet per minute}
\]
To round to the nearest hundredth, we look at the third decimal place, which is 2. Since it is less than 5, we round down:
\[
\text{Rate of Change} \approx 2.27 \text{ feet per minute}
\]
So, the rate of change in the goat's elevation is approximately **2.27 feet per minute**.
The goat climbs a total height of 50 feet over a period of 22 minutes.
The formula is:
\[
\text{Rate of Change} = \frac{\text{Change in Elevation}}{\text{Time Taken}}
\]
Substituting the values:
\[
\text{Rate of Change} = \frac{50 \text{ feet}}{22 \text{ minutes}} \approx 2.2727 \text{ feet per minute}
\]
To round to the nearest hundredth, we look at the third decimal place, which is 2. Since it is less than 5, we round down:
\[
\text{Rate of Change} \approx 2.27 \text{ feet per minute}
\]
So, the rate of change in the goat's elevation is approximately **2.27 feet per minute**.