For this case we have:
Let x the number of hours the leasing agent works for a week.
Case 1:
If the leasing agent works 40 hours we have the following function that represents your weekly payment in dollars:
[tex]f (x) = 23x\ when \ 0 <x\leq 40[/tex]
Case 2:
If the leasing agent works more than 40 hours, every hour after 40 is paid at $ 30. In this case the weekly payment in dollars is given by the following function:
[tex]f (x) = 30 (x-40) + (23 * 40)\ when \ x> 40[/tex]
Thus, the weekly payment of the leasing agent is given by the following function:
[tex]f(x)=\left \{ {{23x\ when\ 0 <x\leq 40} \atop {30 (x-40) + (23 * 40)\ when\ x> 40}} \right.[/tex]
Answer:
[tex]f(x)=\left \{ {{23x\ when\ 0 <x\leq 40} \atop {30 (x-40) + (23 * 40)\ when\ x> 40}} \right.[/tex]
Answer:
f(x)= { 23x, 0<x<=40
2120-30x, x>40 }
Step-by-step explanation:
A leasing agent makes $23 an hour for the first 40 hours he works during a week and $30 an hour for each hour over 40 hours.
In piecewise function , we write two functions
one for first 40 hours and another for more than 40 hours
A leasing agent makes $23 an hour for the first 40 hours he works during a week . LEt x be the number of hours worked
So f(x)= 23x, 0<x<=40
$30 an hour for each hour over 40 hours.
40-x represents the hours more than 40. we need total weekly pay. so we add the weely pay for 40 hours as well
f(x)= 30(40-x) +23*40, x>40
f(x)= 1200-30x+920, x>40
f(x)= 2120-30x, x>40
Now we write piecesise funtion
f(x)= { 23x, 0<x<=40
2120-30x, x>40 }
