Raymond was asked to solve for the length of the hypotenuse in a right triangle with legs that have side lengths of 4 and 5. His work is shown below. He made a mistake when solving. Explain the mistake and then solve the problem correctly. Raphael's Solution:
a ^ 2 + b ^ 2= c^2 (to the power of 2)
4^2 + 5^2=c^2
16 + 25= c^2
41= c

Raymond's mistake was on the last step, since he didn't square root both sides

The correct answer should be

Step-by-step explanation:

Good luck!

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: