Question

Felicity’s dog eats no more than two cups of dog food per day. Felicity’s dog eats at least one-quarter cup more than one-half of the amount Martin’s dog eats. If the amount of food that Martin’s dog eats is represented by using m, which inequality represents the situation?

2 greater-than-or-equal-to one-half m + one-fourth
2 less-than-or-equal-to one-half m + one-fourth
2 + one-fourth greater-than one-half m
2 minus one-fourth greater-than one-half m

Answer 1

The inequality representing the situation where Felicity’s dog eats no more than two cups of dog food and at least one-quarter cup more than half of Martin’s dog's amount is 2 ≥ ½m + ¼, Therefore option no 1 is correct.

Step-by-step explanation:

The question asks which inequality represents the situation where Felicity’s dog eats no more than two cups of dog food per day but also eats at least one-quarter cup more than one-half of the amount Martin’s dog eats. If we represent the amount Martin's dog eats as m, then one-half of this amount is one-half m or ½m. Since Felicity's dog eats at least one-quarter cup more, we add one-quarter (¼) to ½m.

The proper representation of this inequality is Felicity's dog eats at most 2 cups, so we write 2 ≥ ½m + ¼. This inequality states that 2 cups is greater than or equal to the amount Felicity's dog eats (½m + ¼).

Therefore, the correct answer is: 2 greater-than-or-equal-to one-half m + one-fourth

Answer 2

2>_1/2m+1/4

Step-by-step explanation:

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