Aculture started with 6,000 bacteria. after 4 hours, it grew to 6,600 bacteria. predict how many bacteria will be present after 10 hours. round your answer to the nearest whole number.

P = 6,600  

A = 6,000  

t = 4  

k = ?  

6600 = 6000e^(4k)  

6600/6000 = e^(4k)  

1.1 = e^(4k)  

Take the natural log of both sides.  

ln 1.1 = 4k ln e (remember that ln e = 1)  

ln 1.1 = 4k  

(ln 1.1) / 4 = k  

k = 0.0238  

Bacteria after 10 hours.  

P = 6000e^(0.0238*10)  

= 6000e^0.238  

= 7612  

Therefore, the bacteria will grow to 7612 after 10 hours.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,