Max is organising a trip to the airport for a party of 75. he can use two types of taxi.
a small taxi costs $40 for the trip and holds up to 4 people.
a large taxi cost $63 for the trip and holds up to 7 people.

1. (a) if max orders 6 large taxis, how many small taxis will he need?
(b) how much will the total cost be?

2.max can organise the journey more cheaply than this!
how many taxis of each type should max order, to keep the total cost as low as possible?

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.