Question

- In Houston, Texas, the average high temperature during the month of December is 65
degrees F. The actual December temperature for Houston may be about 5 degrees
warmer or colder. Which equation can be used to find the minimum and maximum
temperatures?

Answer 1

Answer: Ix - 65°F I ≤ 5°F.

Where the solutions of this equation are the set of possible temperatures that we can have.

Step-by-step explanation:

We know that the mean temperature is 65°F.

And it may be 5°F colder or warmer.

Then the minimum temperature is 65°F - 5°F = 60°F

The maximum temperature is 65°F + 5°F = 70°F

Then the range of possible temperatures is [60°F, 70°F]

Now we can model this with an absolute value equation.

Now we have:

the mean, M = 65°

Half the difference between maximum and minimum:

d = (70°F - 60°F)/2 = 5°F.

Now we can write the absolute equation:

I x - M I ≤ d

Where x represents the possible temperatures that we can have

in this case are:

Ix - 65°F I ≤ 5°F.