Question

The amount of laps remaining, y, in a swimmer's race after x minutes can be represented by the graph shown.

Determine the slope of the line and explain its meaning in terms of the real-world scenario.

The slope of the line is 13, which means that the swimmer will finish the race after 13 minutes.
The slope of the line is 26, which means that the swimmer must complete 26 laps in the race.
The slope of the line is negative one half, which means that the swimmer completes a lap in one half of a minute.
The slope of the line is −2, which means that the swimmer will complete 2 laps every minute.

Answer 1

The slope of the line and its meaning in terms of the real-world scenario is: D. The slope of the line is −2, which means that the swimmer will complete 2 laps every minute.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) =
`(y_2-y_1)/(x_2-x_1)`

By substituting the given data points (0, 26) and (12, 2) into the formula for the slope of a line, we have the following;

Slope (m) =
`(y_2-y_1)/(x_2-x_1)`

Slope (m) = (2 - 26)/(12 - 0)

Slope (m) = -24/12

Slope (m) = -2.

Answer 2

coordinate grid with the x axis labeled time in minutes and the y axis labeled number of laps remaining with a line from 0 comma 24 and 6 comma 0

Determine the slope of the line and explain its meaning in terms of the real-world scenario.

The slope of the line is 6, which means that the swimmer will finish the race after 6 minutes.

The slope of the line is 24, which means that the swimmer must complete 24 laps in the race.

The slope of the line is −4, which means that the swimmer will complete 4 laps every minute.

The slope of the line is negative one fourth, which means that the swimmer completes a lap in one fourth of a minute.

Explanation: