Please help me! Freshman math---40 points

Correct 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!!!

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: