Question

Can someone help me fast!?!?

Trying to get better at doing word problems like this is would help a lot.

A baker plans to sell $560 of baked goods online each week. This week, she is within $42 of her goal.
Define the variable and write an absolute value equation to represent the scenario.
After that solve the equation, showing all steps.
Last, what are the minimum and maximum amounts that the baker received for her baked goods?

Answer 1

Explanation:

Let's define the variable "x" as the amount of baked goods the baker sold this week.

The absolute value equation to represent the scenario is:

|560 - x| = 42

This equation states that the absolute value of the difference between the baker's goal ($560) and the actual amount of baked goods sold (x) is equal to $42.

To solve this equation, we need to consider two cases:

Case 1: 560 - x = 42

In this case, the amount of baked goods sold is:

x = 560 - 42 = 518

Case 2: 560 - x = -42

In this case, the amount of baked goods sold is:

x = 560 + 42 = 602

Therefore, the minimum amount the baker received for her baked goods is $518, and the maximum amount is $602.