Question

A lake was stocked with 340 trout. Each year, the population decreases by 20. The population of trout in the lake after x years is represented by the function f(x) = 340-20x. Find the Intercepts, then use the Intercepts to graph the function. Complete the Interpretation of the intercepts.

Answer 1

`\begin{gathered} f(x)=340-20x \\ \text{ in order to find the y-intercept evaluate the function for x=0} \\ f(0)=340-20(0)=340-0=340 \\ y-\text{intercept}=340\text{ } \\ \text{ in order to find the x-interecept evaluate the function for f(x)=0} \\ 340-20x=0 \\ \text{Solving for x:} \\ 340=20x \\ (340)/(20)=x \\ x=17 \\ x-\text{intercept}=17 \end{gathered}`