The height of a wave in california varies directly with the seconds that pass by. at 4 seconds, the wave is 6 feet high. how many seconds will give you a wave that is 10 feet high?

a. y = 2/3x
b. 6
c. 6.6
d. 7

After 6.6 seconds will give you a wave that is 10 feet high.

Given ;

The Height of a wave in California varies directly with the seconds that pass by.

At 4 seconds, the wave is 6 feet high.

We have to find : Time taken to give you a wave that is 10 feet high.

Equation of direct variation between x and y = .

Let Time taken to give you a wave that is 10 feet high be x.

Then ,

Putting the values in the equation of direct variation ;

x =

x = 6.6

Hence, after 6.6 seconds will give you a wave that is 10 feet high.

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 c. 6.6 seconds

Step-by-step explanation:

Equation of direct variation between x and y :

Given : The Height of a wave in California varies directly with the seconds that pass by.

At 4 seconds, the wave is 6 feet high.

To find : Time taken to give you a wave that is 10 feet high.

Let Time taken to give you a wave that is 10 feet high. be x.

Put in (1)

 [Nearest answer to the given option.]

Hence, after 6.6 seconds will give you a wave that is 10 feet high.

Correct answer is c. 6.6 seconds .

except a rational number. : )