Answer: y = 3.5 x+ 43.8
Step-by-step explanation:
Here x represents the number of years after 1990
Thus, we get the table that is used to find the equation will be,
x 0 2 4 6 8
y 45 51 57 61 75
Let the equation that shows the above data,
y = b + a x ---------(1)


By the above table,




By substituting these values in the above value of a and b,
We get b = 43.8 and a = 3.5
Substitute this value in equation (1)
we get, the equation that shows the given data is,
y = 3.5 x + 43.8
⇒ Option (3) is correct.
Answer:
Time taken by the un powered raft to cover this distance is T = 192.12 hr
Step-by-step explanation:
Let speed of boat = u
Speed of current = v
Let distance between A & B = 100 km
Time taken in downstream = 32 hours
u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours
u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045
v = 0.5205
Now the time taken by the un powered raft to cover this distance
Because un powered raft travel with the speed of the current.
T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr
Y+4x =7
Or y = -4x + 7
On comparing with point slope form
y = mx+c
We get m = -4 = slope of given line
As the required line is parallel to given line its slope is equal to -4