The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 12 hours, to the nearest whole number.

The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period where x is the time in hours and y is the number of bacter class=

Respuesta :

The exponential regression equation is given by y = 304(1.072)ˣ and the number of bacteria present after 12 hours would be 700.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of bacteria after x hours.

When x = 0, y= 304, hence:

304 = ab⁰

a = 304

When x = 1, y= 326, hence:

326 = (304)b¹

b = 1.072

The exponential regression equation is given by y = 304(1.072)ˣ.

When x = 12:

y = 304(1.072)¹² = 700

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