Question

Kirstin knows that the initial fee for adopting a dog from the animal shelter is $75. This fee needs to be considered when calculating how much a dog will cost. Write a function, C(d), to represent the cost to adopt and feed the dog in terms on the number of days (d) that kirstin owns her dog

Answer 1

Answer:

The function is represented by $C(d) = 75\,USD + r\cdot d$.

Step-by-step explanation:

In this case, we must observe that total cost of the dog ($C(d)$) is the sum of two components: i) Fixed cost ($C_{f}$) - Adoption fee, ii) Variable cost ($C_{v}$) - 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:

$C (d) = C_{f} + C_{v}$

$C(d) = C_{f} + r\cdot d$

Where:

$d$ - Number of days that Kirstin owns her dog, measured in days.

$r$ - Daily feeding costs, measured in US dollars per day.

If $C_{f} = 75\,USD$, then:

$C(d) = 75\,USD + r\cdot d$

The function is represented by $C(d) = 75\,USD + r\cdot d$.