Question

A kennel 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?

Answer 1

A) C(d) = 25d + 12

Explanation:

Answer 2

Option A.
`C(d)=25d+12`

Explanation:

Let

d -----> the number of days

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

we know that

The linear equation in slope intercept form is

`y=mx+b`

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

`C(d)=md+b`

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

so

`m=25(\$)/(day)`

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

`b=\$12`

substitute the values

`C(d)=25d+12`