Question

Brian has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.17 times as many villagers. The game gave Brian 8 villagers to start with. Help Brian expand his empire by solving for how many villagers he can create with 16 towns. Then explain to Brian how to create an equation to predict the number of villagers for any number of towns. Show your work and use complete sentences.

Answer 1

is the equation 1.17(8t)?

Answer 2

or 1.17(8)^(16-1)?

Answer 3

First multiply 1.17 by 8 and then take that number and multiply it by 16.

Answer 4

I don't understand? whats the equation?

Answer 5

1.17x8=9.36
then
9.36x16

Answer 6

how 16?

Answer 7

think about y = mx + b

Answer 8

how do I know which is the y intercept and which is the slope?

Answer 9

The game gave Brian 8 villagers to start with. think this would be "b"

Answer 10

ohhhhh ok then what?

Answer 11

Each town he has allows him to create 1.17 times as many villagers. "m"

Answer 12

ok :)

Answer 13

solve for how many villagers he can create with 16 towns.

Answer 14

so 1.17(16)+8?

Answer 15

that's what i got from it

Answer 16

then what?

Answer 17

villagers = 1.17*(number of towns) + 8

Answer 18

yah I got that :)

Answer 19

explain to Brian how to create an equation to predict the number of villagers for any number of towns

Answer 20

I did haha you get 26.72 villagers at 16 towns right?

Answer 21

if your calculator said so

Answer 22

:) thanks!

Answer 23

thank you

Answer 24

You got that one wrong. You had the right equation originally. They increase geometrically. Why did you listen to that strange lady and not the lesson?