Only do question 5 50 points Topic: Percentage
2 answers:
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Answer:
(6,-1)
Explanation:
The slope of the line can be calculated using the following formula:
slope =
We are given that:
slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):
slope =
= -0.75 ........> accepted choice
For point (2,8):
slope =
= 0.75 ........> rejected choice
For point (-5,1):
slope =
= 4/3 ........> rejected choice
For point (1,1):
slope =
= -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)
(6,-1)
Explanation:
The slope of the line can be calculated using the following formula:
slope =
We are given that:
slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):
slope =
For point (2,8):
slope =
For point (-5,1):
slope =
For point (1,1):
slope =
Therefore, the first option is the only correct one.
Hope this helps :)
Answer:
21. y = 75000·0.935^t
22. after 74.6 days
23. y = 27.8112·1.18832^t
24. 18.8% per month
25. 1748
Step-by-step explanation:
22. It is convenient to use the graphing calculator to solve this problem. The number of days is where the exponential curve has the value 500. It is about 74.55 days. (see the first attachment)
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23. y = 27.8112·1.18832^t (see the second attachment)
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24. The rate of change is the difference between the base of the exponential and 1, often expressed as a percentage. The time period is the units of t.
(1.18832 -1) × 100% ≈ 18.8% . . . . per month
__
25. Evaluating the function for t=24 gives y ≈ 1748.30425259 ≈ 1748.
_____
<em>Comment on graphing calculator</em>
A graphing calculator can make very short work of problems like these. It is worthwhile to get to know how to use one well.
