Question

lesson 4.2.1 recognizing proportional relationships
4-29 the lemonade stand at the county fair sells the lemonade at a price of two cups for $3.60. complete the table at right to find what paula’s family will pay to buy lemonade for all eight members of the family.

of

lemonades price ($)
1 1.80
2 3.60
3 5.40
4 7.20
5 9.00
6 10.80
7 12.60
8 14.40
4-30 carmen is downloading music for her ipod. each song costs $1.75. is this relationship proportional? explain your reasoning. what is the cost for five songs?
lesson 4.2.2 proportional relationships with tables and graphs
4-43 each of the diagrams below represents a sequence for a tightrope walker. for each one, explain the sequence and find the length of the unknown trick.
a.
x x x x
12
b.
r r r r 3
r 21
4-45 write three different math sentences that could describe the relationship between the quantities below.
$27, $81
lesson 4.2.3 unit rates and proportional equations
4-50 complete the proportion table below and graph the results.
pounds of nails 2 3 5 6 8 10 20 x
cost ($) 0.86 1.29 2.15 2.58 3.44 4.3 8.60 0.43

Explanation:

Step1: Find the unit rate (price per cup)

Given 2 cups cost $3.60, so unit rate $r = \frac{3.60}{2} = 1.80$ dollars per cup.

Step2: Calculate cost for 8 cups

For 8 cups, total cost $C = 1.80 \times 8 = 14.40$ dollars.

Answer:

Paula's family will pay $14.40.