Question

Which situation could this graph represent?

A graph of height versus time is shown.
When a graph models a gradual change, the slope of the linear model is less steep.

Responses

A hiker walks down a hill at a constant rate, then jogs down the hill at a constant rate, then runs down the hill at a constant rate.


A hiker runs down a hill at a constant rate, then walks down the hill at a constant rate, then returns to running down the hill at a constant rate.

A hiker walks down a hill at a constant rate, then runs down the hill at a constant rate, then returns to walking down the hill at a constant rate.

A hiker walks down a hill at a constant rate, then runs down the hill at a constant rate, then runs back up the hill at a constant rate.

Answer 1

The graph likely represents a situation where a hiker walks down a hill at a constant rate, then runs down the hill at a constant rate, and finally walks back up the hill at a constant rate. Hence the correct option is d.

The graph, depicting height versus time, suggests a scenario where a hiker undergoes a sequence of activities on a hill. The gradual changes in the slope of the linear model indicate different rates of descent and ascent.

Initially, the less steep slope indicates a gradual descent, likely corresponding to the hiker walking down the hill at a constant rate. The subsequent steeper slope implies a faster descent, indicative of the hiker running down the hill at a constant rate. Finally, the less steep slope again suggests a gradual ascent, possibly representing the hiker walking back up the hill at a constant rate. Hence the correct option is d.