Question

Real World Scenario: A popular hiking tail exist in your town. When John gets to the beginning of the trail he starts to jog. John jogs at a constant rate of 60 meters per minute Kevin is already 240 meters down the trail when Johnnters the trail. Kevin is walking the trail at a constant rate of 20 meters per minute. graph

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Answer 1

The graph will show how the distance changes over time for both John and Kevin. John's line will start from the origin, and Kevin's line will start from the point (0, 240) on the y-axis.

We can create a graph with time on the x-axis and distance on the y-axis. Since both John and Kevin move at constant rates, their distance from the starting point can be modeled by linear equations.

Let's use
`\( t \)` for time (in minutes) and
`\( d \)` for distance (in meters).

For John:

`\[ d_{\text{John}}(t) = 60t \]`

For Kevin:

`\[ d_{\text{Kevin}}(t) = 240 + 20t \]`

The graph will show how the distance changes over time for both John and Kevin. John's line will start from the origin, and Kevin's line will start from the point (0, 240) on the y-axis.