Question

The bacteria in an old piece of cheese is growing at a rate that can be modeled by y = 280 • 2x. Determine which number represents the growth rate.

0.5
1
2
280

Answer 1

The growth rate in the bacteria model is represented by the number 2 in the equation y = 280 • 2x. The growth rate of 2 means that the number of bacteria doubles with each unit increase in time.

Step-by-step explanation:

The growth rate in the bacteria model is represented by the number 2 in the equation y = 280 • 2x. The equation models exponential growth, where x represents the time and y represents the number of bacteria. The growth rate of 2 means that the number of bacteria doubles with each unit increase in time. For example, if x = 1, there would be 280 • 2 = 560 bacteria.

Answer 2

I'd say 280 is the current amount of bacteria and 2 would be the growth rate. Because if you factor in "frame of time" as "x" then you could say something like. y=280×2(3hours) and you'd get y=1,680 which would mean the bacteria grew from 280 to 1,680 in 3 hours. In this scenario Y would be current bacteria count.