Question

A family earns $2200 a month. The family's expenses are at least $1700 a month. Write and solve an inequality to find the possible amount the family can spend for that month.

Answer 1

The family can spend at least $500 for the month after covering their minimum monthly expenses of $1700, given that they earn $2200 a month.

Step-by-step explanation:

To find the possible amount the family can spend for that month, we need to write an inequality that represents their budget situation. Given that the family earns $2200 a month and their expenses are at least $1700 a month, we can set up the inequality as follows:

E ≥ $1700

Where E represents the family's expenses. Since the family cannot spend more than they earn, the amount available for spending after expenses (S) can be represented by the inequality:

S = $2200 - E

Now, combining the two:

S = $2200 - E ≥ $2200 - $1700

Simplifying:

S ≥ $500

This inequality tells us that the family can spend at least $500 for the month after covering their minimum monthly expenses.