In t hours the train has traveled s miles. Find the formula for v, the speed of the train (in mph) in terms of t and s. Find the
1 answer:
Answer:
Speed of the train is 60 mph.
Step-by-step explanation:
Given:
In t hours the train has traveled s miles.
t= 3 hrs
s= 180 miles
W need to find the formula for v, the speed of the train (in mph) in terms of t and s.
Also we need to calculate v.
Now by the definition of speed which is stated below.
"Speed is defined as the distance covered by an object per unit time."
"So, mathematically, speed of train v mph is equal to distance traveled by the train s miles divided by time t hours which it takes to cover the distance."
Now Substituting given values of t and s in above equation we get.
v=
Speed of the train is 60 mph
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Exactly the same process as above.
Here's another method:
25 = k(140)
k = 25/140 = 5/28
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3) 9 = k(12)
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4) On the graph, it hits y = 1 at x = 4.
Thus, we can rewrite the equation as:
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9.5/475 = 0.02
4 = 0.02(x), in hours.
x = 200 miles.
As y varies directly with x, this means that the ratio y/x is always a constant.
In other words, the equation can be written as y = kx, where k is a constant term.
Thus,
y = 21
2) Answer: C
Exactly the same process as above.
Here's another method:
25 = k(140)
k = 25/140 = 5/28
Thus, when y = 36, 36 = kx
36 = 5/28(x)
36 * 28/5 = x; x = 201.6
3) 9 = k(12)
9/12 = k and k = 3/4
4) On the graph, it hits y = 1 at x = 4.
Thus, we can rewrite the equation as:
y = (1/4)x, where the constant term is 1/4
5) y = kx
The distance represents the x-ordinates, and the time represents the y-ordinates.
9.5/475 = 0.02
4 = 0.02(x), in hours.
x = 200 miles.