Luis has 5 cans of soda. he will buy more cans of soda from the store. the store has 12 cases in stock and each case contains 24 cans of soda. the store will not sell partial cases. the function that models the number of cans luis will have after his purchase is (c) = 24 + 5 what is the practical domain of the function?

We are given function f(c) = 24c+5 that models the number of cans Luis will have after his purchase of more c number of cases Luis purchase.

We need to find the domain of the function in respect to the given function.

Here we used variable c. And c represents the  number of cases Luis can purchase.

Minimum number of cases Luis can purchase = 0.

There are total 12 cases in stock.

Therefore, maximum number of cases Luis can purchase = 12.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is