25 POINTS
answer question 4 please

a) The average rate of change for the function over interval x=1 to x=2 is 8

b) The average rate of change for the function over interval x=3 to x=4 is 32

Step-by-step explanation:

We are given function

We need to find Average rate of change

The formula used is:

Part a) The interval is: x=1 to x=2

We have a= 1 and b=2

Finding f(a) i.e f(1)

Now finding f(b) i.e f(2)

Now finding average rate of change.

So, average rate of change for the function over interval x=1 to x=2 is 8

Part b)

The interval is: x=3 to x=4

We have a= 3 and b=24

Finding f(a) i.e f(3)

Now finding f(b) i.e f(4)

Now finding average rate of change.

So, average rate of change for the function over interval x=3 to x=4 is 32

Since the interval is increasing, so does our average rate of change increasing as function is also increasing.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.