How can you use a table to solve an inequality
1 answer:
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Answer:
From top to bottom:
Step-by-step explanation:
We are given the piecewise function:
Row 1:
We want to find g(-2).
Since -2 is less than (or equal to) 2, we will use the first equation. Thus:
Row 2:
Likewise, 0 is less than or equal to 2. We will continue to use the first equation:
Row 3:
2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:
Row 4 and 5:
Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:
Answer:
The function that models the depth of the hole in feet over time in hours is .
Step-by-step explanation:
According to the statement, the variable to be modelled is the depth of the hole, which decreases whereas is filled. Under the assumption that the hole is filled at constant rate, we obtain the following expression:
(1)
Where:
- Current depth of the hole, measured in inches.
- Initial depth of the hole, measured in inches.
- Filled level, measured in inches.
- Filling time, measured in hours.
- Time, measured in hours.
If we know that ,
and
, then the function that models the depth of the hole is:
The function that models the depth of the hole in feet over time in hours is .