6.3 Writing and Solving Inequalities..notebook
November 12, 2015
Bellwork
6.3 Writing and Solving Inequalities
Convert the following into slope ­ intercept form, then graph.
TSW: 1. Define variables and write inequalities
2. Write and graph inequalities from word 3x ­ 2y < 6
problems
3. Use inequalities to answer questions
about the real­world situation.
Sep 26­7:19 PM
Steps
1. Read for details
2. Assign variables
3. Write an inequality to represent the situation
4. Rewrite in slope­intercept form, if needed
5. Graph, choose line type, shade region
6. Consider solutions for reasonableness
Nov 13­1:51 PM
If Gregory can only find tutoring for 16 hours, how many hours would he need to work at the grocery store to be able to purchase the console?? Explain.
Nov 13­1:52 PM
Sep 26­7:19 PM
Gregory wants to buy a the newest video game console. He works part­
time at the grocery store, earning $8 per hour, and also tutors younger kids after school for $5 per hour. He needs to earn at least $200, and his mom will pay the rest for his birthday present. Write an inequality to represent the hours Gregory will need to work at each job. Variables: x = ______________ y = __________________
Inequality: Nov 13­1:52 PM
Suppose Gregory has worked at the grocery store for 20 hours, and has also tutored for 15 hours. Can he afford the game console? Will he have money left over? How much?
Nov 13­1:52 PM
1
6.3 Writing and Solving Inequalities..notebook
Abby has up to $60 to spend on food for a barbecue at her house. Hot dogs cost $2.00 each and burgers cost $3.00. Plot a graph that shows all the combinations of hot dogs and burgers she could buy for the barbecue, spending less than $60. She decides to let x = number of hot dogs sold, and y = number of hamburgers sold. She comes up with the inequality: a. Write an inequality to represent the scenario for Abby.
November 12, 2015
b. If you bought 30 hot dogs, up to how many hamburgers could you buy?
c. If you bought 20 hamburgers, up to how many hot dogs could you buy?
b. Graph the inequality. Make sure to label both axis with titles and numbers.
Nov 13­1:52 PM
Nov 7­12:57 AM
d. You are expecting 30 people at your barbecue. Everyone wants a hamburger, is this possible?
f. What is the domain for this situation? Remember x stands for hotdogs.
e. If you bought 12 hamburgers, what is the most amount of hotdogs you could buy?
g. What is the range for this situation? Remember y stands for hamburgers.
Nov 7­12:57 AM
Nov 7­12:57 AM
Assignment
6.3 Worksheet
Nov 7­12:57 AM
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