Question

Which inequality represents this situation?

Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

Let x represent the number of pounds of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra buys.

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Answer 1

A?

Answer 2

Every inequality has 2.25x + 2.65y, so obviously, that must be correct.
Now think of what values something can be is it is at least $8.
She spent at least $8.
Can she have spent $6?
Can she have spent $8?
Can she have spent $10?

Answer 3

In other words, what does "at least $8" mean?
Does that means $8 or more, or does it mean $8 or less?

Answer 4

$8 or less.

Answer 5

No.
At least $8 means she spent a minimum of $8.
That means $8 or more.
She may have spent $8, she may have spent $10, but she may not have spent $6.

That means the sum of the expenses, 2.25x + 2.65y, must be 8 or more, which is also equal to or greater than 8.

\(\large 2.25x + 2.65y \ge 8\)

Answer 6

So its b?

Answer 7

correct

Answer 8

Keep in mind that even though "least" seems to mean "less than", it actually means "greater than."

Answer 9

Okay, thank you.

Answer 10

yw