The piecewise-defined function to describe this situation:
[tex]f(x)=\left\{ \begin{aligned}3n\text{ if n < 20} \\ 2.5n\text{ if n> 20}\end{aligned}\right.[/tex]Explanation:
Charge for less than 20 pounds = $3.00
Let number of pounds of candy = n
if n < 20 pounds
Total charge: $3 * n = 3n
Charge for more than 20 pounds = $2.5
Let number of pounds of candy = n
if n > 20 pounds
Total charge = $2.5 * n = 2.5n
To create a piecewise-defined function to describe this situation:
Let the total charge = f(x)
[tex]f(x)=\left\{ \begin{aligned}3n\text{ if n < 20} \\ 2.5n\text{ if n> 20}\end{aligned}\right.[/tex]