Question

the shanghai tower has one of the fastest elevators in the world. alina takes the elevator down to the ground floor. her elevation changes by -0.45 km in \\(\frac{3}{4}\\) minute. what is the average change in alinas elevation each minute? use the number pad to enter your answer in the box. alinas elevation changes by \\(\square\\) km each minute on average.

Explanation:

Step1: Recall the formula for rate

The rate of change of elevation (average change per minute) is calculated by dividing the total change in elevation by the total time taken. So, we use the formula \( \text{Rate} = \frac{\text{Change in Elevation}}{\text{Time}} \).

Step2: Substitute the given values

We know the change in elevation is \( - 0.45\) km and the time is \( \frac{3}{4}\) minute. So we substitute these values into the formula: \( \text{Rate}=\frac{- 0.45}{\frac{3}{4}} \).

Step3: Divide the numbers

Dividing by a fraction is the same as multiplying by its reciprocal. So \( \frac{-0.45}{\frac{3}{4}}=-0.45\times\frac{4}{3}\). First, calculate \( 0.45\times\frac{4}{3}\): \( 0.45\div3 = 0.15\), then \( 0.15\times4=0.6\). Since the original numerator was negative, the result is \( - 0.6\).

Answer:

\(-0.6\)