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

Answer:

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

Step-by-step 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.

Answer 2

Answer:

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

Step-by-step 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