Answer:
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
