Question

joshua swims 25 meters in 1 minute.Draw a graph of meters swam versus time.Find the value of the slope and interpret it in words

Answer 1

25/1, so your value of the slope is 25. Interpretation into words: For every minute passed, Joshua swims 25 meters.

Hope this helps you.

Answer 2

Given,

The number of meters covered by Joshua in 1 minute = 25 meters,

So, the number of meters covered by him/her in x minutes, ( say y ) = 25x minutes,

⇒ y = 25x,

Which is the equation of line passes through origin,

If x = 1, y = 25,

If x = 2, y = 50,

So, by joining the points (1, 25) and (2,50) we will get the graph,

∵ Slope of a line y = mx + c is m,

By comparing,

The slope of the above line is 25 that shows the rate of change in meters per minute.

Note : x ≥ 0, because number of minutes can not be negative.