Answer:
[tex]19n+80\geq 289[/tex]
Step-by-step explanation:
Let n represent number of hours that Corinna works at museum.
We have been given that Corinna work at the museum where she earns $19 per hour. So amount earned in n hours would be [tex]19n[/tex].
We are also told that Corinna has $80. So total amount of money that Corinna has in n hours would be [tex]19n+80[/tex].
Since she wants to have a total of at-least $289, so amount saved in n hours should be greater than or equal to 289. We can represent this information in an equation as:
[tex]19n+80\geq 289[/tex]
Therefore, the inequality [tex]19n+80\geq 289[/tex] shows the number of hours, n, Corinna must work so that she has a total of at-least $289.