Interpreting Linear Situations

Graphing

BELL-RINGER QUESTION #1

Determine the coordinate of B' after a rotation 90° counter-clockwise about the origin.

NOTE: The rule of 90° counter-clockwise is (x, y) → (-y, x)

Multiple Choice

BELL-RINGER QUESTION #2

Determine the coordinate of H' after a rotation 180° about the origin.

NOTE: The rule of 180° rotation is (x, y) → (-x, -y)

• (-2, -3)

• (2, 3)

• (3, 2)

• (-3, 2)

Video Notes: Writing Linear Equations from Situations of Context

Multiple Choice

PARTNER PRACTICE

1. An airplane at an altitude of 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write a linear equation of the situation as y=mx+b.

• y= -2,000x +30,000

• y= -2,000x -30,000

• y= 2,000x +30,000

• y= 2,000x -30,000

Multiple Choice

PARTNER PRACTICE- CRITICAL THINKING

2. Madeline is spending allowance money on lunch at the average rate of $4.00 per day. After 10 days she has $50 left. The amount left depends on the number of days that have passed. Write a linear equation of the situation as y=b+mx

• y= 90 -4x

• y= 50 -4x

• y= 50 +4x

• y= 90 +4x

Fill in the Blanks

INDEPENDENT PRACTICE

3. Ericka works as a private counselor charging a one-time consultation fee of $75 and $50 per hour for sessions. Write a linear equation of the situation representing c as the total cost, for h number of hours.

Fill in the Blanks

INDEPENDENT PRACTICE- CRITICAL THINKING

4. Anthony plans a diet and workout to gain 1/2 pounds per day. After 30 days he weighs himself at 150 pounds. Write a linear equation of the situation as y=mx+b.

Fill in the Blanks

INDEPENDENT PRACTICE- CRITICAL THINKING

5. Alexander's fencing company charges $75 per hour for removing materials and installment, plus a one-time fee for using a trailer of towing. After 5 hours of service a customers total bill came to $500. Write a linear equation of the situation as y=b+mx.

Multiple Choice

Exit Ticket - TEK 8.5H

Which situation represents a linear non-proportional relationship?

• The amount of money an employee earns, making $8.50 per hour for working x hours.

• The weight in x weeks of a puppy that gains 2 pounds per week having a starting weight of 8 pounds.

• The total cost of purchasing x pounds of bananas at a rate of $0.55 per pound.

• The number of minutes x, it takes to enter a text message to be sent at a rate of 50 characters per minute.