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Mathematics
Problem
For the linear function
f
(
x
)
=
k
x
+
m
f(x)=kx+m
f
(
x
)
=
k
x
+
m
, the average value on
[
1
,
3
]
[1,3]
[
1
,
3
]
is
5
5
5
and
k
−
m
=
1
k-m=1
k
−
m
=
1
. Which ordered pair
(
k
,
m
)
(k,m)
(
k
,
m
)
satisfies both conditions? a)
(
7
6
,
1
6
)
\left(\dfrac76,\;\dfrac16\right)
(
6
7
,
6
1
)
b)
(
3
,
2
)
(3,2)
(
3
,
2
)
c)
(
2
,
1
)
(2,1)
(
2
,
1
)
d)
(
6
5
,
1
5
)
\left(\dfrac65,\;\dfrac15\right)
(
5
6
,
5
1
)
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