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Proportional Relationships
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The table shows the weights of bunches of bananas and the price of each bunch. Identify the constant of proportionality. Write an equation to relate weight, w, to the price, p
K= 0.45 , p= 0.45 W
Sal ly is going on vacation with her fami ly. In 2 hours they travel 90.5 mi les. If they travel at the same speed, write an equation that represents how far they will travel, d, in h hours.
d= 45.25
Write and solve a proportion to find the perimeter of a square when its side length is 12
p= 48
Are the perimeter and the side length of squares proportional? Explain.
ratios are equivalent
. Mealworms are a healthy food for wi ld songbirds. Adam buys a 3.5-oz container of mealworms for $8.75. Marco buys a 3.75-oz container of mealworms for $9.75. Which container is the better deal?
Adam's container
Do the number of books and the cost have a proportional relationship? Explain.
Yes; Sample answer: The graph is a line that passes through the origin
See image
1, 2 ,4
See image
B
See the image
C
What is the constant of proportionality, and what does it mean in this situation?
150; The machine folds 150 sheets in 1 minute
Are the numbers of green and purple beads in Riley’s picture frames proportional? Write an equation that relates the number of purple beads, p, to the number of green beads, g.
No; p = g + 3
Are the numbers of green and purple beads in Mia’s picture frames proportional? Write an equation that relates the number of purple beads, p, to the number of green beads, g
Yes, p= 7/2 g
The equation y = 7.6x represents a proportional relationship. What is the constant of proportionality?
B