How many calories are in a Twinkie? Each Team Guesses, closest wins
135
How many calories do you burn running 1 mile?
100 calories
Which is the easiest line to graph
3x - 4y = 24
y = 4
y = (3x)/2 -2
y = 4
What are the three methods we have learned to find the intersection of a system of equations.
graphing, substitution, elimination
What is the fastest way to graph an equation in standard form?
A hot dog has 150 calories, and riding a bike for an hour will burn 50 calories.
How many hours will you have to ride your bike if you eat 4 hotdogs.
12 Hours of bike riding
Each Snowball has 200 calories. Running uphill burns 140 calories an hour. If you eat 6 snowballs, how long will you have to run to burn through it?
8.5 hours
What would be the best approach to this problem?
5x -3y = 10
10x+3y = 20
What are the three types of solutions we have for systems of equations.
1 solution, infinite solution, 0 solutions
What are we looking for when we solve systems of equations.
A point of intersection.
Solve this system of equations by graphing.
y = 4x+2
y= 3x
(-2,-6)
Why is graphing not always the best method to use to solve systems of equations?
Graphing has a lot of human error, requires a lot of time and to set up the graph very well.
Graph this system of equations by substitution.
y=(3x)/2-2
x=y
(4,4)
In which situation would you want to solve the system of equations by substitution
y = 4x+5
5x -15y =45
4x +8y = 16
32x +4y= 32
5x -10y = 20
4x + 8y = 12
first one
According to an Exercise Calorie Guide, a 120 pound person burns 372 calories hiking for an hour. A 200 pound person burns 620 calories hiking for an hour.
Write a linear equation to model the relationship between weight and calories burned per hour.(X lbs, Y Cal)
y = 3.1x
or
248 -80y =0
Athlete Brad ate breakfast and began biking. The calories left from their meal is shown by the equation y=-50x+500
Athlete Alfred ate breakfast and began hiking. The calories left from their meal is shown by the equation y=-150x +600
When do the athletes have the same amount of calories left from breakfast?
1 hour 450 calories left
What is easier. Doing homework and asking questions in class, or retaking the class 2-3 times.
zzz
Solve this system of equations by elimination.
12x + 3y = 12
4x +y =4
infinite solutions
After using substitution you have 4=4. What does this mean?