SOLUTION: Find the equation of both the line and exponential curve going through the point (2,9) with the y-intercept=5. For both curves, if x=7, find the corresponding y value and express t

Algebra ->  Equations -> SOLUTION: Find the equation of both the line and exponential curve going through the point (2,9) with the y-intercept=5. For both curves, if x=7, find the corresponding y value and express t      Log On


   

Question 1129908: Find the equation of both the line and exponential curve going through the point (2,9) with the y-intercept=5. For both curves, if x=7, find the corresponding y value and express to 4 decimals.
a. Line equation (slope form) and y value for x=7
b. exponential equation (y=Ce^ax) and y value for x=7
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The exponential equation:
Points (2,9) and (0,5);
Equation form y=Ce%5E%28ax%29


The intercept point means C=5.

The other point means:
9%2F5=e%5E%282a%29
ln%289%2F5%29=2a
a=%281%2F2%29ln%289%2F5%29
.
.
Equation is y=5%2Ae%5E%280.29389x%29
(the exponential equation)