4. Gabriela is records their total weight, w, in grams. weighing quarters on a scale. She weighs various numbers of quarters, n, and number of quarters, n 4 10 24 total weight, w (grams) 22 55 132 (a) Find the ratio of the weight of the quarters to the number of quarters for all three columns of the table. Use long division. Express your answer using decimals. 4:22 22/40 (b) Explain why the ratios (quotients) in (a) show that there is a proportional relationship between the number of quarters and the weight? Explain. (c) What is the constant of proportionality (d) If Gabriela placed 30 quarters on the between the two variables? What does it scale, what would the weight, w, be? represent? (e) Based on (d), try to write an equation that relates the weight, w, of the coins based on the number of coins, n, and the constant of proportionality.
4. Gabriela is records their total weight, w, in grams. weighing quarters on a scale. She weighs various numbers of quarters, n, and number of quarters, n 4 10 24 total weight, w (grams) 22 55 132 (a) Find the ratio of the weight of the quarters to the number of quarters for all three columns of the table. Use long division. Express your answer using decimals. 4:22 22/40 (b) Explain why the ratios (quotients) in (a) show that there is a proportional relationship between the number of quarters and the weight? Explain. (c) What is the constant of proportionality (d) If Gabriela placed 30 quarters on the between the two variables? What does it scale, what would the weight, w, be? represent? (e) Based on (d), try to write an equation that relates the weight, w, of the coins based on the number of coins, n, and the constant of proportionality.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 48SE: A conductor needs 5 cellists and 5 violinists to play at a diplomatic event. 10 do this, he ranks...
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Transcribed Image Text:Gabriela i
records their total weight, w, in grams.
weighing quarters on a scale. She weighs various numbers of quarters, n, and
number of quarters, n
4.
10
24
total weight, w
(grams)
22
55
132
(a) Find the ratio of the weight of the quarters to the number of quarters for all three columns
of the table. Use long division. Express your answer using decimals.
4:22
22/40
(b) Explain why the ratios (quotients) in (a) show that there is a proportional relationship
between the number of quarters and the weight? Explain.
(c) What is the constant of proportionality (d) If Gabriela placed 30 quarters on the
between the two variables? What does it
scale, what would the weight, w, be?
represent?
(e) Based on (d), try to write an equation that relates the weight, w, of the coins based on the
number of coins, n, and the constant of proportionality.
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