Answer:
a
b
tex]C(10)' = \$60 / feet[/tex]
c
Step-by-step explanation:
From the question we are told that
The price per square foot of a floor tile is
The cost of shipping is
The current length of the square bathroom is x = 10 ft
The new length is
Generally the equation representing the cost of the square tile is mathematically represented as
Generally the average rate of change of cost is mathematically represented as
Generally the cost for flooring a 12 feet square bathroom is mathematically represented as
=>
Generally the cost for flooring a 10 feet square bathroom is mathematically represented as
=>
So
=>
Generally the instantaneous rate of change of cost is obtained by the differentiating the cost function as follows
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
=>
Generally given that the new cost function is
Now the instantaneous rate of change of cost will now be
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
=>