Absolute valve equation

Question

you are responsible for maintaining the temperature in the zoo’s incubator. The temperature for the eggs of the Sumantra monitor lizard can vary by only 5 degrees above or below the recommended temperature of 85F.

A. Write an absolute value equation representing the minimum and maximum temperatures that must be maintained in the incubator.

B. Solve the equation and explain what the values in the solution represent in the context of your responsibilities.

Answer 1

A. When we subtract the actual temperature of the incubator, it must be less than or equal to 5. So our equation will look like this:

| 85 - T | ≤ 5 Where T is the temperature

B. To solve an absolute value equation we will have two different equations:

85 - T ≤ 5 And. 85 - T ≥ -5

-85. -85. -85. -85

-T ≤ -80 -T ≥ -90

÷-1 ÷-1 ÷-1 ÷-1

T ≥ 80 T ≤ 90

so from our answer we can see that T has to be greater than or equal to 80 but less than or equal to 90. This means we are responsible for keeping the temperature between the levels of 80 and 90 degrees.

There were a lot of different concepts covered in this so if you’re struggling with a specific concept such as solving absolute value equations don’t hesitate to reach out and I can help you out!

Answer 2

|85 - x| = 5

Here are the pieces:

85 = recommended temperature

x = possible room temperature

5 = maximum temperature difference

We don't want the room's temp to vary any more than 5 degrees from the recommended temp. To find the value of x for the max/min range you will thus need to solve the following equasions from the absolute equation above:

85 - x = 5

85 - x = -5

This all should help you with what's left to solve on your own.