SOLUTION: When a van travels a maximum of 100 km per hour. Its speed decreases in a proportion with the number of passengers. The van can carry a maximum of 7 people..Given that the van can

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Question 1083099: When a van travels a maximum of 100 km per hour. Its speed decreases in a proportion with the number of passengers. The van can carry a maximum of 7 people..Given that the van can travel 88 km per hour with 3 people in the van..what will be the speed of the van when 6 people are on board
Found 2 solutions by ankor@dixie-net.com, natolino_2017:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
When a van travels a maximum of 100 km per hour.
Assuming this is with driver only
:
Its speed decreases in a proportion with the number of passengers.
The van can carry a maximum of 7 passengers.
Given that the van can travel 88 km per hour with 3 passengers in the van..
what will be the speed of the van when 6 passengers are on board
:
linear equation form y = mx + b
pass|speed
x | y
----------
0 |100
3 | 88
6 | ?
:
x=0; we know the equation is y = mx + 100
when x=3, y=88,we can find m
3m + 100 = 88
3m = 88 - 100
3m = -12
m = -12/3
m = -4
the equation: y = -4x + 100
find y when x = 6
y = -4(6) + 100
y = -24 + 100
y = 76 mph when carrying 6 passengers

Answer by natolino_2017(77) (Show Source):
You can put this solution on YOUR website!
V(t) = Vmax -kt, where t: it's the number of passengers that carries.
V(t) = 100 -3k = 88.
3k = 100 - 88 = 12
k=4.
So V(t) = 100- 4t.
V(6) = 100 -4*6 = 100 - 24 = 76 Km/hr.
@natolino_