Amovie theater seats 500 people. for any particular show, the amount of money the theater makes is a function, m(n), of the number of people, n, in attendance. if a ticket costs $6, find the domain and range of this function.

Given a theater has 500 seats. and a ticket costs 6$.

Let n be the number of people who bought tickets.

Then income , m(n) = 6*n

Now we need to find domain and range of above function.

Since n is number of people, it cannot be negative and theater can maximum seat 500 people that is n must be less than or equal to 500.

Hence domain is [0,500].

And minimum income will be when no tickets sold that is $0.

And maximum income will be when maximum tickets sold that is 500*6 = 3000$

Hence range is [0, 3000]

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

8/k

step-by-step explanation: