Q10. - Algebra 2

Question

The number of cable TV systems after 1985 can be modeled by the function $C\left(t\right)=-43.2t^2+1343t+790$, where (t) represents the number of years since 1985. Graph this equation for the years 1985 to 2005.

Step-by-Step Solution

Answer

The graph of the equation $C\left(t\right)=-43.2t^2+1343t+790$ from the year 1985 to 2005 is shown below, where (t) represents the number of years since 1985.

Step 1. Write down the given information.

The number of cable TV systems are modeled by the function $C\left(t\right)=-43.2t^2+1343t+790$, where (t) represents the number of years since 1985.

Step 2. Sketch the graph of given equation.

The graph of the equation $C\left(t\right)=-43.2t^2+1343t+790$ from the year 1985 to 2005 is shown below, where (t) represents the number of years since 1985.

Step 3. Conclusion.

From the graph of the equation it can be interpreted that the number of cable TV in the year 2000 are maximum and afterwards that the number of cable TV starts declining.