students:$5(100) = $500 adults:$10(50) = $500 total amount of money is $500 + $500 = $1000. they...

Students: $5(100) = $500Adults: $10(50) = $500

Total amount of money is $500 + $500 = $1000.

They would collect $1375.

They would collect $1645.

1) Find the amount of money collected from students by multiplying the cost per student by the number of student tickets sold.2) Find the amount of money collected from adults by multiplying the cost per adult by the number of adult tickets sold.3) Then add the amounts together to find the total amount of money collected!

5s + 10a

5s represents the total amount of money collect from students.

10a represents the total amount of money collected from adults.

5s + 10a represents the amounts added together to find the total amount of money collected.

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No!

You need to also know the number of adult tickets sold to find the total amount of money collected.

No!

The number of student tickets and adult tickets are independent of each other and the total amount of money collected is dependent on both the student and adult tickets sold.

5s + 10a = 3000

The equation has a fixed amount of $3000.

Student Tickets

Sold

Adult Tickets

Sold

Money from

students

Money from

adults

Total money

collected

tickets tickets dollars dollars dollars

#1

#2

#3

#4

175 1250 1750 3000

5s + 10a = 30005(95) + 10a = 3000 475 + 10a = 3000-475 -475

10a = 2525 a = 252.5

Robena is correct! They need to sell at least 253 tickets to reach their goal.

We know that 189 student tickets have been sold.

a = -1/2 s + 300

a = -1/2 (189) + 300

a = -94.5 + 300

a = 205.5

If they sold 189 student tickets, then they need 206 adult tickets to reach their

goal of $3000.

Exit Slip

Use BOTH equations to solve.

If 45 student ticket are sold, how many adult tickets need to be sold to reach

their goal of $3000?

X- Intercept Y- Intercept

a = -1/2 s + 300

0 = -1/2 s + 300

-300 = -1/2 s

s = 600

a = -1/2 s + 300

a = -1/2 (0) + 300

a = 300

On the x-axis, where y = 0.The coordinate point ( x , 0 ).

On the y-axis, where x = 0.The coordinate point (0 , y ).

To reach their goal, they would have to sell 600 student tickets and 0 adult tickets.

To reach their goal, they would have to sell 0 student tickets and 300 adult tickets.

(600, 0) (0, 300)

1) Plot the x-intercept. (600, 0)

2) Plot the y-intercept. (0, 300)

3) Connect the intercepts with a straight-edge.

What is the rate of change between the points (600, 0) and (0, 300)?

𝑆𝑙𝑜𝑝𝑒= h𝐶 𝑎𝑛𝑔𝑒𝑖𝑛 𝑦h𝐶 𝑎𝑛𝑔𝑒 𝑖𝑛𝑥

= Δ 𝑦Δ𝑥

=𝑦2− 𝑦1𝑥2− 𝑥1

𝐺𝑖𝑣𝑒𝑛 𝑡𝑤𝑜𝑝𝑜𝑖𝑛𝑡𝑠 (𝑥1 , 𝑦1 )𝑎𝑛𝑑 (𝑥2 , 𝑦 2 )𝟑𝟎𝟎−𝟎𝟎−𝟔𝟎𝟎

=¿ 𝟑𝟎𝟎−𝟔𝟎𝟎

=¿𝟏−𝟐

=−𝟏𝟐

For every 2 fewer student tickets that are sold, they must sell 1 more adult ticket.

Use the graph and equation to support your answer.

They would need to sell 100 adult tickets to reach their goal of $3000.

No! You can’t use the graph to find the amount of money collected, unless it’s a point on the line

because the total amount would be $3000.

S = -2a +600

They must sell 100 student tickets.

X- intercept: (300, 0). This means that to reach their goal of $3000, they could sell 300 adult tickets and 0 student tickets.

Y-intercept: (0, 600). This means that to reach their goal of $3000, they could sell 0 adult tickets and 600 student tickets.

The slope is 2/-1 or -2. This means that two more student tickets sold, one less adult ticket needs to be sold.

The intercepts are opposites of each other. The x-intercept of the 1st graph is now the y intercept of the 2nd graph. The y intercept of the 1st graph is now the x-intercept of the 2nd graph.

You can only determine when the group raises exactly $3000 . You can not determine an exact amount of money for a point that does not lie directly on the graph.