Pages 129-132 #5-6, 8, OYO, & Practice

IM 1 Inv 2.3.2 Day 2 Name Pages 129-132 #5-6, 8, OYO, & Practice

5. Complete the following steps with the data in table 2 instead of answering the books questions.

a. Enter the data into L1 and L2 by Pressing Stat & Edit. b. Press 2nd Y = for Statplot and select the plot that looks like a scatterplot. c. Decide on the appropriate window to show all values of the scatterplot.

What is the difference between tickets? Use that # for X-scale. X-scl =

What’s the smallest # of tickets? Make x-min one x-scl smaller. X-min =

What’s the largest # of tickets? Make x-max one x-scl larger. X-max =

What is the difference between profits? Use that # for Y-scale. Y-scl =

What’s the smallest amount of profit? Make y-min one y-scl smaller. Y-min =

What’s the largest amount of profit? Make y-max one y-scl larger Y-max =

Note: Going one scale smaller in each direction allows us to see all the points on the graph easily without some of them hiding on the edges of the screen.

d. Press graph. Press Trace and use the arrows to go right and left (from point to point). e. Press y = and enter the equation y = 2.5x-450 f. Press graph. g. Press trace and the up or down arrow. Notice it changes between tracing the points and tracing the line. Use the arrows to go left and right on the line. Notice it gives some of the values between the points on your scatterplot, but they still follow the equation.

6. Complete the following steps instead of answering the books questions.

a. Turn off you scatterplot. Keep your window set the same as it was in problem #5. b. Type the following equations into y= Plan 1: Y = 2.5x – 450 Plan 2: y = 3x – 425 c. Look at the graph on your calculator and use the trace feature to help you draw both graphs accurately to the right. d. What is the breakeven # of tickets for each plan?

Plan 1 = Plan 2 =

e. Which plan has the better breakeven point? Why? Now you need to answer the questions in the book on page 131.

8a. i. Recursive Equation. ii. Explicit Equation with A = Amount owed and W = Weeks

8b. Answer the questions from the book using the graph or table.

 How much?

 When?

Mark and label the points on the graph.

8c. Skip

OYO Page 132 a. i. Recursive Equation ii. Explicit Equation with T = flight Times and D = Distance

b. Flight Time 0 1 2 3 4 5 6 7 8 ( hours) Distance (km)

 How far in 5 hours?

 How long for the 5780 km trip?

c. Practice Problems: Not in textbook.

Income = (Price)(# of Items sold) Profit = Income - Expenses

1) The school concession stand sells Energy Bars for $0.75 and Juice for $1.25 per item. Use this information to answer the following questions. E = # of energy bars, J = # of bottles of juice. The concession stand has operating expenses of $40 each day.

a) Write an explicit equation for the Income from the sales of energy bars and juice.

b) Write an explicit equation for the Profit earned each day by the concession stand.

c) Fill in the table below for each day of the week based on the number of energy bards and bottles of juice sold. Show calculations for each.

# of # of Day Energy Bottles Income Profit Bars of Juice

Monday 24 16

Tuesday 16 24

Wednesday 10 30

Thursday 28 16

Friday 20 20

2) In the year 2008 Damian invested $5,000 into a savings account that earns 4.5% interest per year. a) Write a recursive equation. b) Calculate the account value in 2020.

c) When will he have at least $12,000 in the account?

3) In the year 2009 Daronda bought a car on loan for $18,000. Each month she pays back $360. Each year a) Write a recursive equation. b) Calculate the amount she owes in 5 months.

c) Calculate the amount she owes in 2 years. d) How many months will it take back the loan?