Cells undergoing mitosis double with each cycle. a biologist has a sample containing 15 cells. which graph and equation represents the number of cells after each cycle occurs?

The equation is y = 15(2)^x , the graph is X

Step-by-step explanation:

* Lets talk about the exponential graph

- The form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

 b ≠ 1, and x is any real number

- It has a constant base b

- It has a variable exponent x

- The constant a is the beginning value

* Lets solve the problem

- The sample containing 15 cells

∴ a = 15

- The cells double with each cycle ⇒ means × 2 each cycle

∴ b = 2

- x is the number of cycles

- y is the number of cells

∴ The equation is y = 15(2)^x

- From the graphs the answer could be X or Y

* To know which one substitute the values of x to find the value of y

# Figure X

∵ y = 15(2)^x

∵ x = 0

∴ y = 15(2)^0

∵ (2)^0 = 1 ⇒ any number to the power of 0 = 1 except the zero

∴ y = 15(1) = 15

∵ x = 1

∴ y = 15(2)^1 = 15(2) 30

- The graph has y = 30 when x = 1

# In the Figure Y the value of y not equal 30 at x = 1

∴ The answer is graph X

* The equation is y = 15(2)^x , the graph is X