Answer:
[tex]55000 + 2500x \geq 62000 + 2000x[/tex]
Step-by-step explanation:
Given
Lenny:
Base Earnings = $55000
Raise = 2500 yearly
Karl:
Base Earnings = $62000
Raise = 2000 yearly
Required
Determine the inequality that takes years for Lenny to earn more or exact as Karl
Let y represent years:
Earnings = Base Earnings + Raise * Years
First, we need to determine Lenny's earning:
[tex]Lenny: 55000 + 2500 * x[/tex]
[tex]Lenny: 55000 + 2500x[/tex]
Next, we determine Karl's earning
[tex]Karl: 62000 + 2000 * x[/tex]
[tex]Karl: 62000 + 2000x[/tex]
To determine the required inequality, we have:
[tex]Lenny \geq Karl[/tex]
This gives:
[tex]55000 + 2500x \geq 62000 + 2000x[/tex]