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

Answer:

$B(4) > A(4)$

$t = 6$

Step-by-step 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.

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