b Substitute the given value into the function you found in Part A.
C
c Compare the constant multipliers of the exponential functions representing the populations.
A
a y=100* 2^x
B
b 6400
C
c No, see solution.
Practice makes perfect
a We know that a bacterial population is represented by an exponential function.
y= a* b^xIn this function a is the y-intercept, or the initial value.
The points (0, 100) and (1,200) lie on the function. Then, a= 100.
y= 100* b^x
To find the value of b we will substitute the point (1,200).
c The bacterial population in the previous example grows faster than this bacterial population.
y= 100* 2^x & (I) y= 3* 4^x & (II)
Although the initial value of Function (I) is greater than that of Function (II), the constant multiplier of Function (II) is greater than the other function's multiplier. Each time the value of Function (II) is multiplied by 4 and, therefore, Function (II) grows faster.
