Question

Each day, a zoo sells 8400 special admission passes to visitors. The passes allow these visitors to enter the park early. The number of visitors who pay the normal entry fee has been decreasing by 7% each day. Today, 56,000 visitors paid the normal entry fee. Which function represents what the total number of visitors to the zoo will be after x days?

A. f(x)=56,000(0.93)x+8400
B. f(x)=56,000(0.93)x
C. f(x)=56,000(0.07)x
D. f(x)=56,000(0.07)x+8400

Answer 1

9514 1404 393

Answer:

A. f(x)=56,000(0.93)x+8400

Explanation:

The growth rate is -7%, so the growth factor will be 1 -7% = 0.93. This is the base of the exponential term.

The 8400 special passes will add 8400 visitors to the park in addition to those who pay the regular fee. Thus the number of visitors is ...

f(x) = 56,000(0.93^x) +8400 . . . . matches choice A