Question

jim is growing a bacterial culture in a dish for a science project. the graph shows the population of the culture in the dish for the first three hours. which statement about the graph is true? \bigcirc jim starts with 200 bacteria, and the population of bacteria doubles every hour. \bigcirc jim starts with 200 bacteria, and the population of bacteria triples every hour. \bigcirc jim starts with 100 bacteria, and the population of bacteria doubles every hour. \bigcirc jim starts with 100 bacteria, and the population of bacteria triples every hour.

Explanation:

Step1: Identify initial population

At $x=0$ (time=0 hours), $y=100$. This is the starting bacteria count.

Step2: Check hourly growth

At $x=1$, $y=200$: $\frac{200}{100}=2$
At $x=2$, $y=400$: $\frac{400}{200}=2$
At $x=3$, $y=800$: $\frac{800}{400}=2$
The population doubles each hour.

Step3: Match to options

The pattern matches the statement: starts with 100, doubles hourly.

Answer:

Jim starts with 100 bacteria, and the population of bacteria doubles every hour.