Question

Functions A and B give the population of City A and B respectively, t years since 1990. In each function, population is measured in millions.

Answer 1

`B(4) > A(4)`

`t = 6`

Explanation:

Given

`City\ A \to Purple`

`City\ B \to Blue`

See attachment for both functions

Solving (a): Which is greater in A(4) and B(4).

From the readings of the graph

`A(4)= 1.8`

`B(4) = 2.6`

By comparison:

`B(4) > A(4)` because
`2.6 > 1.8`

Solving (b): When is A(t) = B(t)

From the readings of the graph

`A(t) = B(t)` when
`t = 6`

i.e.

`A(t) = B(t) = 3\ million`