Question

A sculptor is selling her work at an exhibit and hopes to earn at least $28,000 in revenue. Small pieces go for $650 and large pieces go for $1,500.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of small pieces sold
y = the number of large pieces sold

Answer 1

650x + 1500y ≥ 28000

Explanation:

To describe the situation in the form of an inequality, we can write:

650x + 1500y ≥ 28000

In this inequality, 650x represents the total revenue from selling small pieces (since each small piece goes for $650), and 1500y represents the total revenue from selling large pieces (since each large piece goes for $1500). The sum of these two terms represents the total revenue from selling all the pieces.

The inequality states that the total revenue should be greater than or equal to $28,000, as the sculptor hopes to earn at least that amount.

Therefore, the inequality in standard form that describes this situation is:

650x + 1500y ≥ 28000