Question

The following table shows the amount of water leaking from an inflatable pool as a function of time:

x (time in minutes) f(x)
0 35
1 30
2 25
3 20
4 15

Find and interpret the meaning of the x‐intercept in this scenario.
A.) (7, 0); the time it takes to empty the water in the pool
B.) (5, 0); the time it takes to empty the water in the pool
C.) (5, 0); the time it takes to fill up the water in the pool
D.) (7, 0); the time it takes to fill up the water in the pool

Answer 1

(7, 0); the time it takes to empty the water in the pool

Explanation:

The following table shows the amount of water leaking from an inflatable pool as a function of time:

x (time in minutes) f(x)

0 35

1 30

2 25

3 20

4 15

f(x) represents the amount of water in the pool. x intercept is the point where f(x) is 0 .At x intercept the amount of water in the pool is 0.

WE need to find out the point where f(x) becomes 0

F(x) is decreasing by 5. LEts extend the table till we get f(x) becomes 0

Decrease f(x) by 5

x (time in minutes) f(x)

3 20

4 15

5 15-5=10

6 10-5=5

7 5-5=0

When x=7, f(x)=0. (7,0) is the x intercept.

(7, 0); the time it takes to empty the water in the pool

Answer 2

A). (7, 0) The time it takes to empty the water in the pool.

Explanation:

If we extend the values we see that they are

x f(x)

5 10

5 5

7 0

So at time 7 minutes the pool is empty.