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≤104
0≤n≤104

0≤t≤104
0≤t≤104

0≤n≤104
0≤n≤104

0≤n≤50
0≤n≤50

0≤t≤50
0≤t≤50

0≤t≤4

Answer 1

The appropriate domain for the problem would be based on the time variable \( t \) since the scientist is checking the population in 4 hours. Therefore, the correct response is:

0 ≤ t ≤ 4

This indicates that time is considered from the starting point (0 hours) up to the time of observation (4 hours). The other options either misinterpret the variable or do not properly describe the situation.