When 50% of a number is added to the number, the result is 135

Let's call the unknown number x.

The problem tells us that when we add 50% of x to x itself, the result is 150. So the math looks like this:

x + (50% of x) = 150

      x + (0.5x) = 150

               1.5x = 150

                    x = 150/1.5

                    x = 100

We can check the math by taking 50% of 100 (which is 50) and adding it to 100. We get 150, so we know the math worked out!

Remember that percentages are just a different way of expressing fractions of 100. So "25%" = 25/100 = 0.25, and "50%" = 50/100 = 0.5, and so on.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).