Question

Sally wants to purchase D dozen donuts for $4.50 each and B boxes of cookies for $2.25 each. She can spend at most $30. Which inequality could be used to determine how many of each item Sally can purchase?
a
4.50D + 2.25B ≤ 30

b
4.50D + 2.25B < 30

c
4.50D + 2.25B > 30

d
4.50D + 2.25B ≥ 30

Answer 1

Considering the definition of an inequality, the inequality that could be used to determine how many of each item Sally can purchase is 4.50D + 2.25B ≤ 30.

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

• greater than >.
• less than <.
• less than or equal to ≤.
• greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, you know:

• Sally wants to purchase D dozen donuts for $4.50 each.
• Sally wants to purchase B boxes of cookies for $2.25 each.
• She can spend at most $30.

The inequality that expresses the previous relationship is

4.50D + 2.25B ≤ 30

Finally, the inequality that could be used to determine how many of each item Sally can purchase is 4.50D + 2.25B ≤ 30.

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