Suppose that the population of Town A in thousands of people $t$ years after 1990 is given by $P(t)$, shown in the graph below.

a) Suppose Town B has a population given by $P(t)+5$.
i) What is Town B's population in 1993? thousand people

ii) What is Town B's population in 1995? thousand people

iii) Which of the following gives the most appropriate interpretation the population of Town B in terms of the population of Town A?

A. The population of Town B is 5 thousand people more than the population of Town A.

B. The population of Town B is 5 more than the population of Town A.

C. The population of Town A is 5 thousand people more than the population of Town B.

D. The population of Town B is 5 thousand people less than the population of Town A.

b) Suppose Town C has a population given by $P(t-3)$.
i) What is Town C's population in 1993? thousand people

ii) What is Town C's population in 1998? thousand people

Which of the following gives the most appropriate interpretation of the population of Town C in terms of the population of Town A?

A. In 3 year(s), the population of Town A and Town C will be the same.

B. The population of Town C is the same as the population of Town A in 3 year(s).

C. The population of Town C is the same as the population of Town A 3 year(s) ago.

D. The population of Town C is 3 more than the population of Town A.

Hint: