0O ATT LTE 252 PM capellasophiaorg question correctly Go to

0O AT&T; LTE 2:52 PM capella.sophia.org question correctly. Go to the next Question Using the model y = 50e04 that describes the number yof infected people after tweeks, Briana is interested in how long it takes the number of infected people to reach 1,000. How many weeks will it take? OOPS 3.25 HINT Set up the corresponding exponential equation, then rewrite the equation as a logarithmic equation in order to find the value of the exponent.

Solution

given y = 50 e^0.4t

at y = 1000

1000 = 50 e^0.4t

20 = e^0.4t

log20 = loge^0.4t

1.30103 = 0.4t

t = 1.30103/0.4

t = 30252575