Popper Jackie decides her map of the youth center is too small. She draws a new map of the youth center that is 3 times larger.
What is the scale of the new map?
I in.: 12 ft
I mi : 15 Ft
1 in. : 4 ft
1 in. : 36 Ft
Old Map
New Map
18 in.
Actual: 72 ft
6 in.
scale = 1 in. : 12 ft

Answer is in the file below

cutt.ly/rzNrBcz

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.

60: 45 =12: 9 =4: 3 so the answer is 4: 3