Question

PLEASE HELPP ASAP......
INTERCEPTS AND FUNCTIONS!!
PICTURES BELOW.

Answer 1

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

`m = (f(7)-f(5))/(7-5) = (22 - 12.5)/(2) = 4.75`

Answer: 475 shirts per year

D

`f(t)=1.5^t + 5`

`g(t) = f(t) + 1000/100 = 1.5^t + 15`

That graph looks like f shifted up by 10 units, i.e. 1000 shirts.

Answer:
`g(t) = 1.5^t + 15`