Question

Please help me! Freshman math---40 points

Answer 1

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!!!