suppose 2 mice live in a barn. if the number of mice quadruples every 3 months, how many mice will be in the barn after 2 years

Question

you have to use this formula y=ab^x  Im not sure what to put for x so far I have y=2*4^x

Answer 1

So, after 3 months (1 period), there will be 2(4) mice. After 6 months (two periods), there will be 2(4)(4) mice, etc.

 

24 months/3 = 8 periods

 

y = 2(4⁸)

 

Be sure to only apply the exponent to the four. A common mistake is to do 2(4) = 8 and 8⁸ = the answer. Remember, it's 2(4)(4)(4)...