A consultant needs to make at least $800 this week. She earns $80 for each new written piece and $40 for each review. Which of the following inequalities represents the possible combinations of reviews and new written pieces that she must complete?

a: 80x+40y>800
b:80x+40y≥800
c:80x+40y≤800
d:80x+40y<800

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Answer:

The correct option is b.

Step-by-step explanation:

Let the number of reviews be y and the number of new written pieces be x.

It is given that the consultant earns $80 for each new written piece and $40 for each review. The total earning is defined as

[tex]80x+40y[/tex]

She make make at least $800 this week. It means she want make $800 and more than $800 this week. So the sign of inequality is ≥ instead of >.

[tex]80x+40y\geq 800[/tex]

Therefore option b is correct.

Answer: that is correct

Step-by-step explanation: I just submitted my test and it was correct