Chandre's mom has a budget of at most $250 for Chandre's birthday party. She wants to rent the skating rink and invite as many friends as
possible. The skating rink charges $100 for a 3-hour party plus $12 for
each guest to rent skates and get a pizza combo from the concession
stand. How many guests can Chandre invite and stay within her mom's
budget?

1

Step-by-step explanation:

1 person cost $112. 2 people cost $224. Chandre is one person already making room only for 1 other friend.

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.