A.
this is assuming it grows by 20% of the houses it has at that time (compound interest)
A(x)=30(1.2)ˣ⁻¹ or A(x)=25(1.2)ˣ
B(x)=3(x-1)+45 or B(x)=3x+42
B.
A(5)=62.28 or about 62 homes
B(5)=60
C.
this is tricky so I think it should have been only 20% of 30
start over
A.
20% of 30=6
A(x)=6(x-1)+30 or A(x)=6x+24
B(x)=3(x-1)+45 or B(x)=3x+42
B.
A(5)=54 homes
B(5)=60
C.
6x+24=3x+42
minus 3x
3x+24=42
minus 24 both sides
3x=18
divide by 3
x=6
after 6 years
both will have 63 homes
Answer:
A.1296
Step-by-step explanation:
Plug in 10 for both functions
f(10) = 4(10)^4 = 40,000
g(10) = 3 * 3^10 = 177,147
Now which value is greater?
Solution: A f(10) < g(10)
6:5. or 6/5 which ever way you choose
