Answer:
The function is represented by 
.
Step-by-step explanation:
In this case, we must observe that total cost of the dog (
) is the sum of two components: i) <em>Fixed cost</em> (
) - Adoption fee, ii) <em>Variable cost</em> (
) - Daily cost of feeding the dog, both measured in US dollars.
In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:
Where:
- Number of days that Kirstin owns her dog, measured in days.
- Daily feeding costs, measured in US dollars per day.
If 
, then:
The function is represented by .
You need to write the entire function: y = f(x) = 2x + 6.
Here the input quantity is x, and the output is y (or f(x)).
165 new subs.
22 divided by 4 is 5.5. So approximately 5.5 new subs per day. Multiply that by 30 is 165
(a) The differential equation is separable, so we separate the variables and integrate:
When x = 0, we have y = 2, so we solve for the constant C :
Then the particular solution to the DE is
We can go on to solve explicitly for y in terms of x :
(b) The curves y = x² and y = 2x - x² intersect for
and the bounded region is the set
The area of this region is
