s = f(t)
A.
(0,6) is on the curve so the s intercept is 6. It represents the number of t shirts sold in year 0, i.e 600 in year 2000.
The t intercept is the zero of the function, the year we sold zero shirts. This function doesn't appear to have a zero; it looks like s=0 is an asymptote.
B. As t increases without bound, s=f(t) increases without bound. That means every year we sell lots more shirts.
C. f(5)=12.5, f(7)=22
Average rate of change is
[tex]m = \dfrac{f(7)-f(5)}{7-5} = \dfrac{22 - 12.5}{2} = 4.75[/tex]
Answer: 475 shirts per year
D
[tex]f(t)=1.5^t + 5[/tex]
[tex]g(t) = f(t) + 1000/100 = 1.5^t + 15[/tex]
That graph looks like f shifted up by 10 units, i.e. 1000 shirts.
Answer: [tex]g(t) = 1.5^t + 15[/tex]
