Answer:
Correct answer: y- intercept is 200 for time x = 0 sec
y = 200 · (3/2)ˣ
The population after x = 10 minutes is: y = 11,533
Step-by-step explanation:
We see from the diagram that the initial bacterial count is 200 which is y-intercept
The formula for an exponential function is:
y = 200· aˣ
to find the basis a we read the second point (1, 300)
300 = 200 · a¹ => a = 300/200 = 3/2
the exact formula is
y = 200 · (3/2)ˣ
we verify the accuracy of the formula using the third point (2, 450)
450 = 200 · (3/2)² => 450 = 200 · 9/4 => 450 = 50 · 9 => 450 = 450
The population after x = 10 minutes is:
y = 200 · (3/2)¹⁰ = 200 · 57.665 = 11,533
y = 11,533
God is with you!!!
