Sam raked 3 bags of leaves in 16 minutes. If he continues at the same rate, how many minutes will it take him to rake 9 bags?

48 minutes.

Step-by-step explanation:

9 divided by 3 equals 3, 16 multiplied by 3 equals 48.

144

Step-by-step explanation: 16 times 9= 144

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:

x = 3 ± √(5+y)