Question

2. The temperature of the ocean at Huntington Beach can vary up to 8.6°F from the

average temperature of 75°F. Write and solve an absolute value equation to find the temperature extremes of the ocean.
temperature extremes of the ocean.

Answer 1

Let x represent temperature of the ocean.

We have been given that the temperature of the ocean at Huntington Beach can vary up to 8.6°F from the average temperature of 75°F. We are asked to write an absolute value equation to find the temperature extremes of the ocean.

We will use tolerance formula to solve our given problems.

`|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}`

Upon substituting our given values in above formula, we will get:

`|x-75|\leq 8.6`

Therefore, our required inequality would be
`|x-75|\leq 8.6`.

Using absolute value rule
`\text{If }|u|\leq a,\text{ then } -a\leq u\leq a`, we will get:

`-8.6\leq x-75\leq 8.6`

`-8.6+75\leq x-75+75\leq 8.6+75`

`66.4\leq x\leq 83.6`

Therefore, the temperature extremes of the ocean would be
`66.4\leq x\leq 83.6`.