Question

Assessment timer and count

Assessment items
Item 1

A scientist studied the replication of bacteria in a lab environment. This table gives the bacteria count for the first 12 hours. The table can be modeled using an exponential function.

Hours 2 4 6 8 10 12
Bacteria count 1,240 5,100 20,990 86,520 365,520 1,469,170

What function best represents the data?

y=300+4x
y=1240⋅2.03x
y=4x
y=300⋅2.03x

Answer 1

D.) y = 300 ⋅ 2.03x

Explanation:

By using the plug-in method, you use "Hours" as the X in this question.

If you plug in 2, 4, 6, 8, 10, and 12 to y = 300 ⋅ 2.03x, you will get the closest answers to "Bateria Count"

1,236.27 = 300 ⋅ 2.03^2
5,094.54= 300 ⋅ 2.03^4
2,0994.11 = 300 ⋅ 2.03^6
86,514.63 = 300 ⋅ 2.03^8
and so on- all are the closest to the chart.

Hope this helped! :)

Answer 2

Answer: y=300⋅2.03x

Step-by-step explanation: