Question

. . Read the problem and write your answer for each part. Make sure to label each part: , , .jasmine is tracking the growth of a specific bacteria bacteria for a science experiment. She assumes that there are bacteria () in a Perti dish at 12:00 midnight. Jamie observes that the number of bacteria increases by 25 every hour . write an equation that describes the relationship between total number of bacteria () and time () in hours, assuming there are () bacteria in the perti dish at = 0. . if Jamie starts with bacteria in the perti dish, how many bacteria will be present after 6 hours? . if Jamie starts with bacteria in the perti dish, draw a graph that displays the total number of bacteria with respect to time from 12:00 midnight ( = ) to 8:00 am. ( = ). Label each axis and label points on your graph at times = , , , .use the coordinate plane below to draw your graph.

Answer 1

Part A:

Let:

T(h)= Total Number of bacterias as a function of time

h = Number of hours

B = Initial number of bacterias

Since the number of bacteria increases by 25 every hour, we can defined the equation as:

`T(h)=25h+B`

Part B:

B = 5

h = 6

Evaluate the previous equation for those values:

`\begin{gathered} T(6)=25(6)+5 \\ T(6)=150+5 \\ T(6)=155 \end{gathered}`

there will be 155 baterias after 6 hours

Part C

Let's graph the equation:

`T(h)=25h+5`