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Answer :
Let the variable [tex]$x$[/tex] represent the manager's number of gigs and let [tex]$y$[/tex] represent the monthly rate. If we know that each gig earns \[tex]$20 and the manager also receives an additional monthly rate of \$[/tex]y, then the total earnings for last month can be expressed as
[tex]$$20x + y.$$[/tex]
If the manager earned at least \[tex]$170 last month, this relationship is captured by the inequality
$[/tex][tex]$20x + y \geq 170.$[/tex][tex]$
Thus, the correct choice among the given options is the one that states
$[/tex][tex]$20x + y \geq 170.$[/tex]$
[tex]$$20x + y.$$[/tex]
If the manager earned at least \[tex]$170 last month, this relationship is captured by the inequality
$[/tex][tex]$20x + y \geq 170.$[/tex][tex]$
Thus, the correct choice among the given options is the one that states
$[/tex][tex]$20x + y \geq 170.$[/tex]$
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