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A graph is drawn to represent a relationship between distance, d, and time, t.

A graph with both axes unnumbered. A line decreases from the left to the right.

Which situation could be represented on the graph?

Each point shows the distance, in feet, above the ground of a falling object after t seconds, where the falling speed increases as time increases.
Each point shows the distance, in feet, covered t seconds after a brake is applied, where the speed of the car decreases by a constant factor.
Each point shows the distance, in feet, traveled by an airplane on a runway by gradually increasing speed t seconds after being approved for takeoff.
Each point shows the remaining distance, in feet, to the finish line of a race t seconds after a runner begins the final stretch and runs at a constant speed

Sagot :

The situation that could be described by the linear function is given as follows:

Each point shows the remaining distance, in feet, to the finish line of a race t seconds after a runner begins the final stretch and runs at a constant speed.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Linear function have constants rate of change, and in this problem we want a function in which the output is decaying, hence the correct option is given by:

Each point shows the remaining distance, in feet, to the finish line of a race t seconds after a runner begins the final stretch and runs at a constant speed.

More can be learned about linear functions at https://brainly.com/question/24808124

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