4.3 day 2.notebook
4.3 (day 2) Notes
December 09, 2014
p.225
LT: I can graph linear equations using intercepts (problem solving)
You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two sizes. Small tables seat 4 people, and large tables seat 6 people. This situation can be modeled by the equation 4x + 6y = 180, where x is the number of small tables and y is the number of large tables.
a) Find the intercepts of the graph of the equation. What do the intercepts mean in this situation?
b) Graph the equation.
c) Find the domain and range of the function in part (b).
d) Give four possibilities for the number of each size table you could rent.
4.3 day 2.notebook
4.3 (day 2) CW
December 09, 2014
(complete WS)
p.225
LT: I can graph linear equations using intercepts (problem solving)
You sell necklaces for $10 and bracelets for $5 at a craft fair. You want to earn $50. Let n be the number of necklaces you sell and b be the number of bracelets you sell.
a) Write an equation for this situation.
b) Find the intercepts of the graph of the equation. What do the intercepts mean in this situation?
c) Graph the equation.
d) Find the domain and range of the function in part (c).
e) Give three possibilities for the number of bracelets and necklaces you could sell.
4.3 day 2.notebook
December 09, 2014
IF
Checking:
Box 6
Find the y­intercept of the graph of the equation.
2x ­ 8y = 24
Find the x­intercept of the graph of the equation.
y = ­4.8x + 1.2
4.3 day 2.notebook
December 09, 2014
check
check
check
SKIP 50
4.3 day 2.notebook
4.3 (day 2) Notes
December 09, 2014
p.225
LT: I can graph linear equations using intercepts (problem solving)
You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two sizes. Small tables seat 4 people, and large tables seat 6 people. This situation can be modeled by the equation 4x + 6y = 180, where x is the number of small tables and y is the number of large tables.
a) Find the intercepts of the graph of the equation. What do the intercepts mean in this situation?
b) Graph the equation.
c) Find the domain and range of the function in part (b).
d) Give four possibilities for the number of each size table you could rent.
4.3 day 2.notebook
December 09, 2014
4.3 (day 2) CW
(complete WS)
Always show all work.
a) 10x + 5y = 50
b) x­intercept is (5, 0) means 5 necklaces and no bracelets.
y­intercept is (0, 10) means 0 necklaces and no bracelets.
y
c)
d) domain: 0 ≤ x ≤ 5
bracelets
(0, 10)
range: 0 ≤ y ≤ 10
5
(5, 0)
5
necklaces
e)
x
0
y
10
1
8
2
6
3
4
4
2
5
0
x
4.3 day 2.notebook
December 09, 2014
4.3 day 2 Answers
44a) 2x + 2y = 72
46a) (64, 0) and (0, 128)
44b) (0, 36) and (36, 0)
44c)
46b) x­intercept means 64 field goals and no free throws were scored.
y­intercept means no field goals and 128 free throws were scored.
48) t d
46c) x y
1 76
0 128
2 64
40 48
3 52
50 28
60 8
64 0
46d) 52 field goals