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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

i need help

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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,