Question

A study of the annual population of the red - winged blackbird in FT. Mill, South Carolina, shows the population incresing at a rate of 16%. If
the population starts at 150 blackbirds, then which of the following functions properly models the population B(t) as a function of time.
O a B(t) = 150(1.6)
Ob B(t) = 150(16)
Oc B(t) = 150(1.16)
Od B(t) = 150(.84)

Answer 1

The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

Given the following

• Initial population = 150 birds

If there is a 16% increase, the increment will be 0.16(150)

The population B(t) as a function of time will be expreessed as:

B(t) = 150(1+0.16)

B(t) = 150 (1.16)

Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

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