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A fountain sprays water into a pool as part of the filtration system. The projected path of water is modeled by the function given in the table, where x represents the time in seconds since the water left the fountain and f(x) represents the height in feet above the pool’s water line.



How many seconds does the water travel through the air?

–6
1.5
3
5


Sagot :

The water travels in 3 seconds.

The correct option is (C).

what is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given information-

x          0       1       2       3      4      5

f(x)     1.5      2     1. 5     0    -2.5   -6

The image of table attached below.

Here, x represents the time (sec) and f(x) represent the height in feet above the pool’s water line.

From the table,

  • The height of the water started with 1.5 ft above.
  • After one second the water height reached to the 2 feet above.
  • After two seconds the water height reached to the 1.5 feet above.
  • In 3rd second the water height comes down at the pool's water line.

Hence, the water travel through the air for the 3 seconds.

Learn more about this concept here:

https://brainly.com/question/16866537

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