Lester has sold $51 worth of sports drinks at his concession stand today. each drink sells for $3. he hopes to sell at least $300 worth of drinks over the course of the entire day. let x be the number of drinks he will sell over the rest of the day. which inequality precisely represents the condition of lester meeting his goal? a.51 + 3x ≥ 300 b.51 + 3x > 300 c.3x ≥ 300+ 51 d. 3x > 300 + 51

First you should evaluate the givens. We know that so far Lester has sold $51 of drinks. Every drink costs $3 and he wants to sell at least $300 worth of drinks at the end of the day. x represents the number of drinks he wants to sell, which must be at least $300. Now we can put this into an inequality.

Since Lester wants a minimum of $300, he needs the amount to be equal to or greater than 300, because if it were any less he would not meet his goal.

> 300

Every drink costs $3, and x represents the number of drinks he needs to sell to get at least $300. Multiplying 3 and x together will give us the rest of the $300 answer.

3x > 300

We cannot forget that Lester already has $51, however, so we will add this to the amount of money from the rest of the drinks he needs to sell.

51 + 3x > 300

This makes A. our final answer. I hope my explanation made sense!

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice