Answer:

Step-by-step explanation:
This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

Integration on both sides gives

where
is a constant of integration.
The steps for solving the integral on the right hand side are presented below.

Therefore,

Multiply both sides by 

By taking exponents, we obtain

Isolate
.

Since
when
, we obtain an initial condition
.
We can use it to find the numeric value of the constant
.
Substituting
for
and
in the equation gives

Therefore, the solution of the given differential equation is

Answer:
The answer is 48.24
Step-by-step explanation:
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
I think its 100.625... hope this helps :)