A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 + 40t + 7.
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Answer:
<em>The initial population size is 500 fish</em>
<em>Population size after 9 years: 1910 fish</em>
Step-by-step explanation:
<u>Mathematical Model</u>
We usually represent real situations as mathematical functions or rules that express the dependency of one variable quantity P with another variable quantity t.
The population size of a species of fish P(x) is modeled by the following function:
Where t is the number of years elapsed since the species was added to the lake.
The initial population size can be found by substituting t for 0:
P(0)=500
The initial population size is 500 fish
The population size after t=9 years is:
Population size after 9 years: 1910 fish