Mr. scruggs got some money for his birthday. he spent 1/5 of it on dog treats. then , he divided the he divided the remainder equally among his 3 favorite charities. what fraction of his money did each charity receive? if he donated $60 to each charity , how much money did he receive for his birthday

Fraction of money each charity received

He received $225  for his birthday.

Step-by-step explanation:

Let x denotes the money Mr. Scruggs received for his birthday.

Given : He spent 1/5 of it on dog treats.

i.e. Money he spent on dog treats =

Remaining money =

Since he divided the he divided the remainder equally among his 3 favorite charities.

⇒ Money each charity received =

∴ Fraction of money each charity received

If he donated $60 to each charity , then

∴ He received $225  for his birthday.

  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).