Help to solve this math problem! Thanks for your help!?
The cash flow per share for a boot company was $1.28 in 1999 and $1.61 in 2007. Write a linear equation that gives the cash flow per share in terms of the year. Let t = 9 represent 1999.
回答 (2)
Let c = cash flow per share in $
and t = 9 represent 1999
The linear equation should be : c = at + b
where a, b are real number.
When t = 9, c = 1.28 :
1.28 = 9a + b ...... [1]
When t = 17, c = 1.61 :
1.61 = 17a + b ...... [2]
[2] - [1] :
0.33 = 8a
a = 0.04125
Substitute a = 0.04125 into [1] :
1.28 = 9 × 0.04125 + b
b = 0.90875
The linear equation is : c = 0.04125t + 0.90875
If t is the number of years after 1990, then you have two points of data:
(9, 1.28) and (17, 1.61)
You are told it's linear, so you can use these two points to find the equation:
y = mx + b
Slope is change in y over change in x:
(1.28 - 1.61) / (9 - 17)
-0.33 / -8
0.04125
Now that we have the slope, use one of the points to find the intercept:
y = mx + b
1.28 = 0.04125 * 9 + b
1.28 = 0.37125 + b
b = 0.90875
So your equation is:
y = 0.04125x + 0.90875
收錄日期: 2021-04-18 15:07:41
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