Graph
Graph the following:
y=-5/3x+3
y-intercept of 3, then down 5, right 3
Pam is older than Sam. The difference of their ages is 31 and the sum of their ages is 109.
Write a system of equations to model this situation.
P+S=109
P-S=31
P=Pam's age
S=Sam's age
According to the graph Mrs. Thornton will show you, when is the yellow cab a better buy?
From 0-2 miles
y=-5/3x+3
y=1/3x-3
(3,-2)
Solve with elimination:
x+y=109
x-y=31
(70,39)
Graph the following
y=4x+3
y-intercept of 3, then up 4 and right 1
The length of Donna’s pool is 2 meters more than 2 times the width. The perimeter of her pool is 76 meters.
Write a system of equations to model this situation.
L=Length
W=Width
L=2+2W
2W+2L=76
According to the graph Mrs. Thornton will show you, when is the blue cab the better buy?
Anoything over 3 miles
Solve with substitution
y=3x+1
2x+2y=8
(0.75, 3.25)
Solve with elimination:
2x+3y=12
-4x+8y=25
(0.75, 3.5)
Graph the following
x-3y=9
y-intercept of -3, then slope of 1/3 (up 1, right 3)
Jim has 55 dimes and nickels worth $4.30.
Write a system of equations to model this situation.
D=number of dimes
N=number of nickels
D+N=55
0.10D+0.05N=4.30
According to the graph Mrs. Thornton will show you, when does it not matter which cab you use?
If you're traveling 3 miles
Solve with substitution:
y=45+5x
y=20x
(3,60)
NON ELIMINATION BONUS
Graph
-2x-6y>12
y>4x
check on board
Graph the following
2x+2y=-4
y-intercept of -2, then slope of -1 (down 1, right 1)
Gym A charges $45 to join and $5 per month. Gym B does not have a joining fee but costs $20 per month.
Write an equation to model each situation.
x=number of months
y=total cost over time
Gym A: y=45+5x
Gym B: y=20x
$8
Solve with substitution:
x+y=55
0.1x+0.05y=4.30
(31,24)
Solve with elimination:
x+y=55
0.1x+0.05y=4.3
(31,24)