I used the generic rectangle/diamond method, although the quadratic formula would work just as well with a=3, b=11, c=6. Put that into the quadratic formula
to get that your factors are x = -2/3 and -3. Putting those into factorization form you get the 2 factors as (3x+2)(x+3)
PART A
alligators:
x = total number of alligators
n = number of years
x=20*1.25^n
crocodiles:
y = total number of crocodiles
n = number of years
y=25+10n
PART B
alligators
x=20*1.25^4 = 48.82 round up to 49
crocodiles 25 +10(2) = 25+20 = 45
Part C
7 years
20(1.25^n)=25+10n
1.25^n=1.25+0.5n
n=7
check:
alligators 20+1.25^7 = 95.36
crocodiles = 25+10(7) = 95
after you subtract the answer is 2x-2y
