An exponential function in the form y=500(b)x contains the points (0,500) and (3,4). what is the value of b?

An exponential function in the form y=500(b)^x contains the points (0,500) and (3,4). What is the value of b?

An exponential function in the form y=500(b)^x contains the points (0,500) and (3,4). Then the value of b is

Solution:

Given that, An exponential function in the form contains the points (0,500) and (3,4).  

We have to find what is the value of b

Now, as the function contains (0, 500), let us substitute it in given function.

Here, it is not possible to find b exact value, as anything power 0 is 1.

So, now let us go for the next point. i.e. (x, y) = (3, 4)

Substitute x = 3 in given function

Hence, the value of b is

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

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