Question

modeling real life a rock climber averages $12\frac{3}{5}$ feet per minute. how many feet does the rock climber climb in 30 minutes? the rock climber climbs \square feet in 30 minutes. justify your answer.

Explanation:

Step1: Convert mixed number to improper fraction

The speed is \(12\frac{3}{5}\) feet per minute. Convert \(12\frac{3}{5}\) to an improper fraction: \(12\frac{3}{5}=\frac{12\times5 + 3}{5}=\frac{63}{5}\) feet per minute.

Step2: Multiply speed by time

To find the distance climbed in 30 minutes, multiply the speed (\(\frac{63}{5}\) feet per minute) by the time (30 minutes). So, \(\frac{63}{5}\times30\). Simplify the calculation: \(30\div5 = 6\), then \(63\times6 = 378\).

Answer:

378