10. A scientist is observing a particular species of bacteria growing in a petri dish.

Question

The number of bacteria can be represented by the equation n(t)=50(1.2)t
, where n
is the number of bacteria after t
hours.

If the scientist checks the population in 4 hours, what would be an appropriate domain for the problem?

(1 point)
Responses

0≤n≤50
0≤n≤50

0≤n≤104
0≤n≤104

0≤t≤4
0≤t≤4

0≤t≤50
0≤t≤50

0≤t≤104
0≤t≤104

0≤n≤104
0≤n≤104
Skip to navigation

Answer 1

In this scenario, we are interested in the time variable \( t \) since the scientist checks the population of bacteria after 4 hours. The equation given for the bacteria population is \( n(t) = 50(1.2)^t \).

The appropriate domain for this problem would define the possible values of \( t \)—the time in hours that the observation can cover. Since the scientist is specifically checking the population at \( t = 4 \) hours, the domain should include all non-negative values of \( t \) up to 4 hours.

Therefore, the appropriate domain is:

0 ≤ t ≤ 4

Thus, the correct response is:

0≤t≤4