Finding a Constant of Proportionality

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Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?

0.65

This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes. Cubes Boxes Number of cubes 1 n 5 625 8 1,000 What is the unknown value representing the unit rate?

125

The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of money collected from book sales. What is the constant of proportionality?

2

Nia plans to put enough money in the bank each week for 100 weeks so that the amount in the bank is always proportional to the week number. On week 8, she had $20.00. On week 12, she had $30.00. How much money will be in the savings account on week 100?

250

Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to losses has been consistent each year. Wins Losses 18 2 45 5 36 4 27 x Using the information in the table, how many losses should he predict for next year if the number of games won is 27?

3

Melissa's family is driving out of state to her grandmother's house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?

70.00

Sharon graphed the formula for converting weight from kilograms to pounds .If an item weighs 45 kilograms, what is its weight in pounds?

99

Sasha noticed that the graph of the sales of yearbooks represented a proportional relationship. How could she have calculated the constant of proportionality by looking at the graph?

She could divide any y-value by its corresponding x-value.

A constant of proportionality can also be considered a(n)

Unit Rate

The first number in an ordered pair of numbers that corresponds to a point on a coordinate system is the

X-Value


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