Jillian is participating in a book-reading contest to raise funds for her local library. for every book jillian reads, her mother pledged to make a donation.
a: the table shows how much jillian's mother will donate. find the pattern, and give the amount her mother will donate for 9 and 21 books read.
(btw it won't let me upload a pic of the table so this is what it said)

br: 3. 5. 7
md: $15. $25. $35

(ps. br means books read and md means money donated)

b: write an equation showing the pattern from the table. identify the variables.

c: graph the equation.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.