Question

An artist earns $320 for her products each week. However, this amount can vary by $28 depending on the time of year.

define a variable and write an absolute value equation to represent the scenario.
Solve the equation, showing all steps.
What are the minimum amounts that the artist received for her products?

Answer 1

To represent the scenario, a variable can be defined and an absolute value equation can be written. The minimum amounts that the artist received for her products are $292 and $348.

Step-by-step explanation:

To represent the scenario, we can define a variable, let's say x, to represent the time of year. Since the amount earned can vary by $28, we can write the equation as:

|320 - x| = 28

We can solve this equation by first setting up two separate equations:

320 - x = 28

320 - x = -28

Solving these equations, we find that x can take on two values: 292 and 348. Therefore, the minimum amounts the artist can receive for her products are $292 and $348.