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Mathematics
Mathematics
Problem
The population of bacteria in thousands after
t
t
t
hours is modelled by
P
(
t
)
=
120
t
−
6
t
2
,
0
≤
t
≤
20.
P(t)=120t-6t^{2},\qquad 0\le t\le 20.
P
(
t
)
=
120
t
−
6
t
2
,
0
≤
t
≤
20.
During which time interval is the population decreasing? a)
0
<
t
<
10
h
0<t<10\text{ h}
0
<
t
<
10
h
b)
t
≥
10
h
t\ge10\text{ h}
t
≥
10
h
c)
t
>
10
h
t>10\text{ h}
t
>
10
h
d)
0
≤
t
≤
20
h
0\le t\le20\text{ h}
0
≤
t
≤
20
h
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