Transcript Solving Systems of Equations

Objectives
• Find the solution of a system of inequalities
Problem Model
Patricio’s family, on average, drives their SUV more than
twice as many miles as they drive their car. His family’s car
emits 0.75 pounds of CO2 per mile and the SUV emits 1.25
pounds of CO2 per mile. Patricio is concern with the
environment and convinces his family to limit the total CO2
emissions to less than 600 pounds per month. How many
miles can they drive their car and SUV to meet this limit?
x = SUV miles
y = Car miles
x > 2y
0.75y + 1.25x < 600
Problem Model
x > 2y
0.75y + 1.25y < 600
Problem Model
The science club can spend at most $400 on a field trip to a
dinosaur exhibit. It has enough chaperones to allow at most
100 students to go on the trip. The exhibit costs $3.00 for
students 12 and under and $6.00 for students 12 and over.
How many students 12 years and under can go if 20
students over 12 go?
x = Students 12 and under
y = Students 12 and over
Hidden word: Reconstituted
x + y ≤ 100
3x + 4y ≤ 400
Problem Model
x + y ≤ 100
3x + 4y ≤ 400
Now you try…
The Math Club want to advertise their fundraiser each
week in the school paper. They know that a front-page ad
is more effective than an ad inside the paper. They have
a total of $30 budget for advertising. It costs $2 for each
front-page ad and $1 for each inside-page ad. If the club
wants to advertise at least 20 times, what are the different
possibilities for the number of front-page and inside-page
ads.
x = front-page ads
y = inside-page ads
x + y ≤ 20
2x + 1y ≤ 30
Now you try…
x + y ≤ 20
2x + 1y ≤ 30
Now you try
When you have finished the work make sure to fill out a 3-2-1 document.
Find the hidden word with in the power point and write it next to your name.
Number 5 continued