Monday 2/1

Monday 2/1

Please work on your minutes for today

I can model linear relationships

Mod 6 Lesson 1

Review from Last Week

Quizizz Questions

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is the relation a function? 
{(4,5), (4,-7), (4,2), (4,0), (4,9)}

• Yes
• No

Multiple Choice

Is this a function?

• Yes

• No

Multiple Choice

Is this a function?

• Yes

• No

Multiple Choice

What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.

• 561.5 in³
• 267.9 in³
• 201 in³
• 803.8 in³

Multiple Choice

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.  

• 810 cm³
• 2543.4 cm³
• 847.8 cm³
• 2826 cm³

Multiple Choice

What is the formula for Volume of a Cone?

• V=π r³h
• V=π r²h
• V=(1/3)π r²h
• V=(4/3)π r³

Today we are going to work on modeling linear relationships

We're going to start by matching equations to their graphs

• Remember slope = rise/run

• y-intercept is where the line crosses the y-axis

Multiple Choice

Which equation matches this graph?

• $y\ =\ \frac{3}{2}x\ +\ 4$

• y = 4

• $y\ =\ -\frac{3}{2}x\ +\ 4$

• y = 4x + 4

Multiple Choice

Which graph matches the equation:

 $y\ =\ 2x\ -3$  

Matching tables to equations

• Plug in x values

• See if they give you the same y-values

Multiple Choice

Which table matches the equation:

 $y\ =\ -2x\ -\ 3$  

Modeling Linear Relationships with Tables, Equations, and Graphs

• Look for keywords

• Select the appropriate or requested model

Lenore is considering this company’s plan, but the company’s advertisement does not state how much the fixed access fee for connecting is, nor does it state the usage rate. However, the company’s website says that a 10-minutes session costs $0.40, a 20-minute session costs $0.70, and a 30-minute session costs $1.00. Lenore decides to use these pieces of information to determine both the fixed access fee for connecting and the usage rate.​

Multiple Choice

Exercise 6​

​

Using x for the number of minutes and y for the total cost in dollars, write a function to model the linear relationship between minutes of use and total cost.

• y = 0.10x + 0.03

• y = 0.30x + 0.10

Example 2: Another Rate Plan​

​

A second wireless access company has a similar method for computing its costs. Unlike the first company that Lenore was considering, this second company explicitly states its access fee is $0.15, and its usage rate is $0.04 per minute.​

​

Total Session Cost = $0.15 + $0.04 (number of minutes)​

​

Open Ended

How is this plan presented differently?​

​

Open Ended

Based on the work with the first set of problems, how do you think the two plans are different?​

Exercise 7​

​

Let x represent the number of minutes used and y represent the total session cost in dollars. Construct a linear function that models the total session cost based on the number of minutes used.

Open Ended

Exercise 7​

​

Let x represent the number of minutes used and y represent the total session cost in dollars. Construct a linear function that models the total session cost based on the number of minutes used.

A band will be paid a flat fee for playing a concert. Additionally, the band will receive a fixed amount for every ticket sold. If 40 tickets are sold, the band will be paid $200. If 70 tickets are sold, the band will be paid $260.

Open Ended

A band will be paid a flat fee for playing a concert. Additionally, the band will receive a fixed amount for every ticket sold. If 40 tickets are sold, the band will be paid $200. If 70 tickets are sold, the band will be paid $260.

Determine the rate of change.

Open Ended

A band will be paid a flat fee for playing a concert. Additionally, the band will receive a fixed amount for every ticket sold. If 40 tickets are sold, the band will be paid $200. If 70 tickets are sold, the band will be paid $260.

Let x represent the number of tickets sold and y represent the amount the band will be paid in dollars. Construct a linear function to represent the relationship between the number of tickets sold and the amount the band will be paid.​

Multiple Choice

​

What flat fee will the band be paid for playing the concert regardless of the number of tickets sold?

• $260

• $200

• $100

• $120

Multiple Choice

​

How much will the band receive for each ticket sold?

• $120

• $200

• $250

• $2

We are going to do some quizizz questions on this topic

Multiple Choice

Determine the equation of the line based on the graph.

• y = -2x + 1
• y = -x + 2
• y = 2x + 1
• y = -2x + 2

Multiple Choice

What is the equation for the Taxi Cab situation?

• y = .3x
• y = x + .3
• y = .3x + 1
• y = .3x - 1

Multiple Choice

Based on the table, determine the rate of change for the situation.

• There are 10 candles burning for 10 hours.
• The candle starts at 10 inches tall and after 10 hours it is burned out.
• For every hour that goes by, the candle loses an inch in height.
• The candle burns an inch every hour.

Multiple Choice

The graph represents the different rates Sam and Kim hiked. Use the legend to determine who hiked at a faster pace.

• Kim hiked at a faster rate.

• Sam hiked at a faster rate.

• They hiked at the same rate.

• Their rates cannot be determined from the graph.

Open Ended

A rental car company offers a rental package for a midsize car. The cost comprises a fixed $30 administrative fee for the cleaning and maintenance of the car plus a rental cost of $35 per day. 1. Using 𝑥 for the number of days and 𝑦 for the total cost in dollars, construct a function to model the relationship between the number of days and the total cost of renting a midsize car

Open Ended

The same company is advertising a deal on compact car rentals. The linear function 𝑦 = 30𝑥 +15 can be used to model the relationship between the number of days, 𝑥, and the total cost in dollars, 𝑦, of renting a compact car. a. What is the fixed administrative fee?

Open Ended

The same company is advertising a deal on compact car rentals. The linear function 𝑦 = 30𝑥 +15 can be used to model the relationship between the number of days, 𝑥, and the total cost in dollars, 𝑦, of renting a compact car. a. What is the rental cost per day?

Lesson 1 Pset #1-4

Then work on Quizizz Redo from last week