By what percent will a fraction change if its numerator is decreased by 10% and its denominator is decreased by 70%?

it will increase by 200%

Step-by-step explanation:

Lets call the original fraction x/y

and lets call the amount it was increased by a

which means that x/y multiplied by a = 0.9x/0.3y

because the numerator decreased by 10% and the denominator decreased by 70%

because of this you get the equation x/y * a = 0.9x/0.3y

you get xa/y= 0.9x/0.3y

you cross multiply and get the equation 0.3yxa=0.9yx

you cancel the yx from both sides and you're left with 0.3a=0.9

you solve the equation and get a=3

then you make the a percentage which is 300%

you subtract 100% because that is what you began with and get 200%

  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).

step-by-step explanation: the answer is 27. first multiply .32 by 25 which equals 8. then add 8 to 25 which gives you 33. then you subtract that from 6 since she gave 6 to her brother.

,, add !