A mountain goat is climbing to the top of a large cliff the cliff is 50 ft higher than it's starting point if it takes the goat 22 minutes to climb this Cliff interpret the quotient to describe the rate of change in the goats elevation give your answer to the nearest hundredth the quotient that best represents the rate of change in the goats elevation is and they or minutes

1 answer

To find the rate of change in the mountain goat's elevation as it climbs a cliff, we need to divide the total change in elevation by the time it takes to climb that elevation.

In this case, the elevation change is 50 feet, and the time taken is 22 minutes.

The formula for rate of change is:

\[ \text{Rate of Change} = \frac{\text{Change in Elevation}}{\text{Time}} = \frac{50 \text{ ft}}{22 \text{ min}} \]

Now, we perform the division:

\[ \frac{50}{22} \approx 2.2727 \]

Rounding this to the nearest hundredth, we get:

\[ \approx 2.27 \text{ ft/min} \]

Therefore, the quotient that best represents the rate of change in the goat’s elevation is 2.27 ft/min.