Question

which of the following is the equation of the exponential function y=Ce^kx that passes through (0,5) and (1,5e)
a)y=5e^kx
b)y=ce^5x
c)y=5e^5x
d)y=5e^-x
e)none

Answer 1

i have so far that c=5

Answer 2

for the other one i plugged it in and so far i have 5e=5e^k how do i simplify it

Answer 3

C=5 is correct.

For this one... put a 1 on the e, since e is really e^1\[\\[\Large 5 \times e^1=5 \times e^k\]\]
then see if you can simplify

Answer 4

\[\Large 5 \times e^1 =5 \times e^k\]

Answer 5

so then would my answer be that y=5e^kx

Answer 6

You'll need to simplify \[\Large 5 \times e^1 =5 \times e^k\] you can get rid of those 5's

Answer 7

but then i would be left with e^1 =e^k

Answer 8

Then you can find k :)

Answer 9

\[\Large \Large e^1 = e^k \]then k must be...

Answer 10

its 1

Answer 11

so the answer would be none right since the final would have to be y=5e^x

Answer 12

Yep, looks that way.

Answer 13

thanks