Cameron Indoor Stadium at Duke University is one of the most revered sites in all of college basketball, as well as in all of sports period. Duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. Cameron Indoor Stadium is capable of seating 9,460 people. For each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance. If each ticket costs $45.50, find the domain and range of this function.

Domain: [1,2,3,...9460]

Range: [45.50, 91, 136.5...430430]

Step-by-step explanation:

Let the number of people in attendance at a game =x

Each ticket costs $45.50.

Therefore, Revenue, f(x) = 45.50x

The stadium can seat a maximum of 9,460 people.

Therefore, the domain of the function f(x) is:

Simply put, it is the set of whole numbers from 1 to 9460.

Recall: f(x) = 45.50x

Therefore, the range of the function is the set

45.50, 91, 136.5...430430 where each subsequent term is a multiple of 45.50.

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

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: