ANSWER
The maximum y-value is 0.
EXPLANATION
The domain of the given absolute value function is (-∞, ∞) .
This means the function is defined for all real values of x.
The range of the function is (-∞, 0].
This can be rewritten as
This means that, the highest y-value on the gray of this absolute value function is 0.
Hence the maximum y-value of the function is 0.
To answer this question we can propose the following equation:
Where:
x is the number of weeks elapsed.
d is the debt depending on the weeks.
Robert promised to pay at least $ 67 each week.
Therefore, after 5 weeks the debt of rober should be:
Then scenario A) is possible because .
After 6 weeks:
Then scenario B) is possible because .
After 7 weeks
Then scenario C) is possible because .
After 8 weeks
So scenario D) is NOT possible because
Finally the correct answer is option D.
