Akennel charge $25 per day to board dogs, where d represents the number of days. upon arrival, each dog must have a one- time bath that cost $12, where cost is represented by c(d). write a function rule to represent this situation.

a) c(d) = 25d + 12
b) c(d) = 12d - 25
c) c(d) = 12d + 25
d) c(d) = 25d - 12

what is the answer?

Option A.

Step-by-step explanation:

Let

d -----> the number of days

C(d) -----> the total cost

we know that

The linear equation in slope intercept form is

where

m is the rate or slope of the linear function

b is the y-coordinate of the y-intercept

In this problem we have that

The slope of the linear equation is equal to the charge of $25 per day to board dogs

so

The y-intercept is the value of y when the value of x is equal to zero

In this problem the C-intercept is the total cost when the number of days (d) is equal to zero

The C-intercept is equal to the cost of the bath $12

so

substitute the values