From the solution to the inequality, the correct interpretation is that:
Amanda's family can drive 244 miles before they need to refill the gas tank.
The amount of miles they can still travel is modeled by the following <em>inequality</em>:
It is solved similarly to an equality, hence:
Then:
Amanda's family can drive 244 miles before they need to refill the gas tank.
You can learn more about inequalities at brainly.com/question/25629776
If a function is defined as
where both are continuous functions, then
is also continuous where defined, i.e. where
So, in your case, this function is continous everywhere, except where
To solve this equation, we can use the formula
It means that, if the leading terms is 1, then the x coefficient is the opposite of the sum of the roots, and the constant term is the product of the roots.
So, we're looking for two terms whose sum is 7, and whose product is 12. These numbers are easily found to be 3 and 4.
So, this function is continuous for every real number different than 3 or 4.