Answer:
[tex]\text{ b. a=282 and b=1.35; the function represents exponential growth of 35\%}[/tex]
Step-by-step explanation:
Population growth or decay exponential function is represented by the following equation:
[tex]\begin{gathered} P(t)=ab^t \\ \text{where,} \\ b=1+\text{rate} \end{gathered}[/tex]
Therefore, for the function for the population:
[tex]\begin{gathered} P(t)=282(1.35)^t \\ \text{ Then,} \\ a=282 \\ b=1.35 \\ \text{ Then, the rate represents exponential growth at rate of 35\%} \end{gathered}[/tex]
