AndresElCapo8049 AndresElCapo8049
  • 11-05-2021
  • Mathematics
contestada

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.

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 14-05-2021

Answer:

[tex]B(4) > A(4)[/tex]

[tex]t = 6[/tex]

Step-by-step explanation:

Given

[tex]City\ A \to Purple[/tex]

[tex]City\ B \to Blue[/tex]

See attachment for both functions

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

From the readings of the graph

[tex]A(4)= 1.8[/tex]

[tex]B(4) = 2.6[/tex]

By comparison:

[tex]B(4) > A(4)[/tex] because [tex]2.6 > 1.8[/tex]

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

From the readings of the graph

[tex]A(t) = B(t)[/tex] when [tex]t = 6[/tex]

i.e.

[tex]A(t) = B(t) = 3\ million[/tex]

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