Tickets for a dance are sold for $5 to seniors and $7 to juniors. the dance hall can hold 560 students. how many of each type of ticket must be sold to raise at least $3500? choose the system of inequalities that models this situation.

we can define the variables:

x =  number of senior tickets sold

y = number of junior tickets sold.

Then with the given information we can write:

x + y = 560

x*$5 + y*$7 = $3500

This is the system of equations that models this situation.

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Step-by-step explanation:

Let x be number of seniors and y be number of juniors going to attend dance.

The dance hall can hold 560 students. We can represent this information as:

We have been given that tickets for the dance are sold for $5 to seniors and $7 to juniors. So the amount raised after selling tickets to seniors will be 5x and the amount raised after selling tickets to juniors will be 7y.

We need to raise at least $3500 by selling both types of tickets.

We can represent this information as:

Therefore, our desired system of inequalities will be:

is should be y = 5x

step-by-step explanation:

correct me if im wrong

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.