Answer this if you know 100% how to do it the graph of f(x) = 2x + 1 is shown below. explain how to find the average rate of change between x = 0 and x = 3.

The rate of change is 7/3

Step-by-step explanation:

To find the average rate of change, we subtract  the value of the function at the 2 points, over the difference of the 2 points.

f(3) -f(0)

3-0

f(3) = 2^(3)+1 = 8+1 =9

f(0) = 1 +1 = 1

9 -2

3-0

7/3

The rate of change is 7/3

Each line is one unit.

When X = 0, the blue line is at Y = 2

When x = 3, the blue line is at Y = 9

The average rate of change would be the change in y over the change in x.

The change in y = 9 - 2 = 7

The change in x = 3-0 = 3

The average rate of change would be 7/3

b

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺