Question

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= number 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.

Answer 1

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

Linear model Equations

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.

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