Replace the values of A, b, x, and y to write an exponential equation that represents the number of cells present at h hours.

Please check the explanation.

Step-by-step explanation:

Given the table

Time, x(hours)             Number of Cells, y

0                                   100

1                                     200

2                                    400

h                                     6400

We know that the exponential function is of the form

A(b)ˣ = y

substituting x = 0 and y  = 100

A(b)⁰ = 100

A×1 = 100           ∵ (b)⁰ = 1

substituting x = 1 and y = 200

A(b)¹ = 200

Ab = 200

plug in A = 100

100×b = 200

b = 200/100

b = 2

So, the values of A and b are:

Thus, the equation of the exponential function becomes:

A(b)ˣ = y

substituting A = 100 and b = 2

100(2)ˣ = y

Thus, the equation of the exponential function becomes:

Given that we have to determine the value of 'h' hours at y = 6400

so substituting y = 6400

100(2)ˣ = y

100(2)ˣ = 6400

divide both sides by 100

Simplify

             ∵ 2⁶ = 64

Therefore, in 6 hours i.e. x = 6 h, the number of cells present will be 6400.

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

substitute,

circle 1 = 5

circle 2 = 20

circle 3 = 44

in this case no matter how you add, you will always get a perfect square..

hence proved

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