Can someone help me with this question please.
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.

Question

Can someone help me with this question please.
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.

saracaji98 · Answer

@jhonyy9 could you help me with this question??

jhonyy9 · Answer

any idea ?

saracaji98 · Answer

I tried several equations but they just seem wrong. The most convincing one I tried was f(x)=1.17x+8, but for some reason it just does not seem correct

saracaji98 · Answer

i feel like 8 should be multiplied by 1.17

xguardians · Answer

current villagers * (1.17 * # of towns) = total villagers

saracaji98 · Answer

thats what I was thinking about but the number seems like its too big

xguardians · Answer

or you can do 1.17*#of towns = the multiplier of people

xguardians · Answer

Ah wait, I see.

saracaji98 · Answer

I dont know what you mean by the second one. Could you show me?

xguardians · Answer

Actually, have you tried this 1.17^#of villages

xguardians · Answer

I think that is your solution.

saracaji98 · Answer

then why do they include the 8 in there?

xguardians · Answer

So for 8 villages, 1.17^8 = 3.5114

xguardians · Answer

So when you have 8 villages, your multiplier of people would be 3.5114

saracaji98 · Answer

give me a moment I will be right back.. pleasee dont log off

xguardians · Answer

So with 16 villages, it would be 12.33

xguardians · Answer

Okay.

saracaji98 · Answer

the number 8 is the starting amount of villagers not villages @xGuardians

saracaji98 · Answer

but I think you are onto something

saracaji98 · Answer

I think I figured it out. the equation would be y=8·1.17^x. x representing the town number and y being the total amount of villagers

saracaji98 · Answer

so for 16 towns the number of villagers would be around 99

saracaji98 · Answer

@jhonyy9 is this right?

xguardians · Answer

I believe that is right, good job. I misread the question.

saracaji98 · Answer

@xGuardians yay and no worries. Ty so much for your help