Solution :
Given :
The height of the person is 5 foot.
The height of the lamppost is 12 foot.
Speed of the person away from the lamppost = 4 ft/s
Let the distance of the tip of the shadow of the perosn to the pole at t seconds after the person started walking away from the pole be d(t).
By similarity of the triangles, we see that
.................(i)
Here x is the distance from the person to the tip of the shadow. As it is given the speed of the person is 4 ft/s, then the distance of the person from the pole 4t. So we have,
x = d - 4t .............(ii)
Putting (ii) in (i) and solving for d is
d(t) = 6.85 t
So now if we derive d(t), we will get the wanted rate of the tip of the shadow.
∴ d'(t) = 6.85 ft/s
They ran 1 and 5/6 miles. This is just under 2 miles, so no, they did not run 2 miles.
Answer:

Step-by-step explanation:
Given:
'w' represents inches of water left after 't' minutes of time.
The dripping out of water is a linear function.
At time 't' equal to 0, the bucket was empty.
After 14 minutes, there are 7 inches of water in the bucket.
A linear function model is of the form: 

Now, at 
At 
Therefore, plugging these values in the above linear model and solving the system of linear equations. This gives,

Therefore, the values of 'm' and 'b' are 0.5 and 0 respectively.
Thus, the linear model is given as:

Answer:
False
Step-by-step explanation:
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