A rubber ball dropped on a hard surface takes a sequence of bounces, each one 3/5 as high as the preceding one. If the ball is dropped from a height of 10 feet, what is the total vertical distance it has traveled after it hits the surface the fifth time?

23 7/125 ft
36 14/125 ft
43 111/125 ft
46 14/125 ft

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer: i think it is (1,-2)

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d