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Patty is a customer service representative for a company. She earns $18 an hour, plus an additional $2.50 each time one of her customers completes a company survey. This week, Patty plans to work 38 hours.

If Patty wants to earn at least $750 this week, which inequality could she solve to find the number of surveys, s, she needs her customers to complete this week?

Sagot :

CintiaSalazaridn

Considering the definition of an inequality, the inequality she could solve to find the number of surveys, s, she needs her customers to complete this week is 18(38)- 2.50s ≥ 750

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

  • greater than >.
  • less than <.
  • less than or equal to ≤.
  • greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, Patty earns $18 an hour, plus an additional $2.50 each time one of her customers completes a company survey. This week, Patty plans to work 38 hours and she wants to earn at least $750.

Being "s" number of surveys Patty needs her customers to complete this week, the inequality that expresses the previous relationship is

18× 38 hours - 2.50×s ≥ 750 or, which is the same, 18(38)- 2.50s ≥ 750

Finally, the inequality she could solve to find the number of surveys, s, she needs her customers to complete this week is 18(38)- 2.50s ≥ 750

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