1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.
Answer:
(a) 
(c) 
Step-by-step explanation:
(a) To find verify the answer we need to multiplying the equation 
Thus, this statement is true.
(b) To find verify the answer we need to multiplying the equation 
Hence, the given statement is false.
(c) To find verify the answer we need to multiplying the equation 
Hence, the given statement is true.
(d) To find verify the answer we need to multiplying the equation
Hence, the given statement is false.
I think the answer is B. Darnell does not know how many rides he has already used. He knows he has 12 bus rides left on the bus pass.
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