Question

The following table shows the distance from the bus stop as a function of time: Time (in minutes) x Distance (in meters) f(x) 0 45 3 40 6 35 9 30 12 25 Find and interpret the meaning of the x-intercept in this scenario. (45, 0); the distance away from the bus stop (27, 0); the time it takes to reach the bus stop (45, 0); the time it takes to reach the bus stop (27, 0); the distance away from the bus stop

Answer 1

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Answer:

  (27, 0); the time it takes to reach the bus stop

Step-by-step explanation:

Since (x, f(x)) represents (time, distance away), the x-intercept will be the time when the distance away is zero. That is, it is the time it takes to reach the bus stop.

The distance decreases by 5 meters for each time increase of 3 minutes, so to decrease the distance by 45 meters takes 9 times 3 = 27 minutes. The x-intercept is (27, 0).

Answer 2

The x-intercept is (27, 0).

What is intercept?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given:

Time (in minutes) x Distance (in meters)

0                                      45

3                                      40

6                                      35

9                                      30

12                                     25

Now, x-intercept will be the time when the distance is zero.

That is, it is the time it takes to reach the bus stop.

As, in every 3 minutes the distance decrease by 5 units.

so, to decrease the distance by 45 meters it takes 9 * 3 = 27 minutes.

Hence, The x-intercept is (27, 0).

Learn more about intercept here:

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