Question

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

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 $66.4\leq x\leq 83.6$.