Some math equation problem help please
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Some math equation problem help please

[From: ] [author: ] [Date: 12-07-09] [Hit: ]
Suppose average cardholder debt D grows at a constant rate.a. Expreess D as a linear function of time t where t is the number of years after 2000.b. use the function in part a to predict the average age cardholder debt in the year 2010.Ok,......
A credit card company estimates that the average cardholder owed $7,853 in the year 2000 and $9,127 in 2005. Suppose average cardholder debt D grows at a constant rate.

a. Expreess D as a linear function of time t where t is the number of years after 2000.
b. use the function in part a to predict the average age cardholder debt in the year 2010.

Ok, so for part a the answer is y= D(T)= 254.8t + 7,853
...so question is how did they get the 254.8t part from...can someone explain? Thanks

And for part b the answer iss $10,401. How did you get that?

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1) m = (9,127 - 7,863) / 5

m = (1,264) / 5

m = 252.8

y = 252.8x + 7,853

b) y = 252.8(10) + 7,853

y = 2,528 + 7,853

y = 10,401

I hope this information was very helpful.

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Increase in debt = 9127-7853 = $1274
Annual increase = 1274/5 = $254.8
a) D(t) = 254.8t + 7,853

b) D(10) = 254.8*10 + 7853 = $10,401
1
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