Answer:
[tex]-36\frac{2}{3}ft/min[/tex]
Step-by-step explanation:
The elevation changed [tex]-82\frac{1}{2} ft[/tex] in [tex]2\frac{1}{4} min[/tex]. To find the ratio of change of such elevation, we just have to divide these quantities. However, we need to transform each mixed number into a fraction, as follows
[tex]-82\frac{1}{2} ft=-\frac{165}{2} ft\\2\frac{1}{4} min=\frac{9}{4}min[/tex]
Then, we divide
[tex]-\frac{165}{2}ft \div \frac{9}{4} min=-\frac{165}{2}ft\times \frac{4}{9}\frac{1}{min}=-\frac{660}{18}ft/min=-36\frac{12}{18} =-36\frac{2}{3}ft/min[/tex]
Therefore, the ratio of change expressed as a mixed number is
[tex]-36\frac{2}{3}ft/min[/tex]
