The equation to model Exponential Growth is: y=a(1+r)t y= total amount a= starting amount r= the growth rate as a decimal t= num

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The equation to model Exponential Growth is: y=a(1+r)t y= total amount a= starting amount r= the growth rate as a decimal t= num

ber of growth periods Question 4 A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours.

Mathematics

1 answer:

vlada-n [284] · Answer 1 · 2022-12-02T18:16:20+03:00

The equation that can be used to determine the number of cells after x hours is; y = 0.5x + 30.

<h3>Linear model Equations</h3>

It follows from the task content that;

The scientist starts with a sample of 30 bacteria cells, it follows that the intercept of the linear model is 30.

Additionally, since the number of bacteria cells increases by 50% every hour implies that the rate of change, slope of the equation is 0.5.

Hence, the required equation is; y = 0.5x + 30.