Choices: A. 0.38 B. 0.64 C. 0.69 D. 2.00
1 answer:
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Answer:
a) The slope of the function is 3.
c) The equation is represented by .
d) The y-intercept of the function is 35.
Step-by-step explanation:
a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:
(1)
Where:
- Slope, measured in number of pieces per minute.
- Time, measured in minutes.
- Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.
- Current number of pieces of mail that must be hand-sorted, measured in pieces.
From Geometry, we know that a line can be formed by know two distinct points. If we know that and
, then the following system of linear equations is formed:
(2)
(3)
The solution of the system of equations is:
and
The slope of the function is 3.
c) By (1) and using results from a) we conclude that the equation function is:
(4)
d) The y-intercept of the function is 35.
Answer:
During 15 hour period, 1409.7 mg of dextrose will be delivered.
The flow rate of dextrose per hour will be 93.98 mg/hour.
Step-by-step explanation:
If a total of 3.81 liters of the solution is given over a 15 hour period.
Now, 1 liter is equivalent to 1000 ml
So, a total of 3810 ml of the solution is given over a 15 hour period.
If 100 ml of solution contains 37 mg of dextrose, then 3810 ml of the solution will contain mg of dextrose.
So, during the 15 hour period, 1409.7 mg of dextrose will be delivered.
The flow rate of dextrose per hour will be mg/hour. (Answer)