Emily wants to buy carrots and leeks for a stew, but she only has $10.00 with her. At the store, carrots are marked at $1.00 per pound, and leeks are marked at $2.00 per pound.

If c represents the number of carrots and k represents the number of leeks, select the inequality and the graph that model this situation.

c + 2k ≥ 10
2c + k ≤ 10
c + 2k ≤ 10

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Let c represents the number of carrots and k represents the number of leeks.

Given that At the store, carrots are marked at $1.00 per pound, and leeks are marked at $2.00 per pound. Therefore, the total cost can be written as,

1c + 2k

Also, it is given that Emily wants to buy carrots and leeks for a stew, but she only has $10.00 with her. Therefore, she must spend $10 or less than that.

Thus, the inequality can be written as,

1c + 2k ≤ 10

The graph of the given inequality can be made as shown below.

Hence, the inequality that model this situation is 1c + 2k ≤ 10.

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