Question

A hiker is climbing at a constant rate of 2.4 miles per hour. Part A If d represents the distance the hiker climbed and h represents the time in hours, write an equation to model the relationship. Explain your answer. ( please help-) ​

Answer 1

The equation to model the relationship between the distance climbed and the time taken by the hiker is:

d = 2.4h

This equation represents a direct proportion between the distance and time. It states that the distance climbed by the hiker is equal to the product of the rate (2.4 miles per hour) and the time taken to climb that distance (h hours).

For example, if the hiker climbs for 3 hours, then the distance climbed would be:

d = 2.4 × 3 = 7.2 miles

If the hiker climbs for 5 hours, then the distance climbed would be:

d = 2.4 × 5 = 12 miles

This equation assumes that the hiker climbs at a constant rate of 2.4 miles per hour throughout the entire climb, which may not always be the case in real-life situations. However, for the purpose of modeling the relationship between distance and time, this assumption is reasonable.