The second number in an ordered pair of numbers that corresponds to a point on a coordinate system is the
y-value.
x-value.
rate.
constant of proportionality.
y-value.
Which table shows a constant of proportionality of 2 for the ratio of string instruments to percussion instruments?
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The table that shows a constant of proportionality of 2 for the ratio of string instruments to percussion instruments is mc012-3.jpg.
Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix. What is the constant of proportionality for the ratio of pancake mix to milk?
Two-thirds
StartFraction 6 over 9 EndFraction
Three-halves
StartFraction 9 over 6 EndFraction
To find the constant of proportionality for the ratio of pancake mix to milk, we need to compare the two quantities. In this case, the pancake mix corresponds to 9 cups and the milk corresponds to 6 cups.
To find the constant of proportionality, we divide the quantity of pancake mix by the quantity of milk:
9 cups / 6 cups
Simplifying this fraction, we get:
3/2 or Three-halves
Therefore, the constant of proportionality for the ratio of pancake mix to milk is Three-halves.
The first number in an ordered pair of numbers that corresponds to a point on a coordinate system is the
x-value.
y-value.
constant of proportionality.
unit rate.
The first number in an ordered pair of numbers that corresponds to a point on a coordinate system is the x-value.
Sharon graphed the formula for converting weight from kilograms to pounds.
A line graph titled Conversion Chart has Pounds on the x-axis and Kilograms on the y-axis. 33 pounds is 15 kilograms, 88 pounds is 40 kilograms.
If an item weighs 45 kilograms, what is its weight in pounds?
20
63
90
99
Based on the given conversion chart, we can see that the relationship between pounds and kilograms is linear. We can use this information to determine the weight in pounds for an item weighing 45 kilograms.
To find the weight in pounds, we need to determine the corresponding value on the x-axis (pounds) for the given y-axis value (kilograms).
From the chart, we can observe that 33 pounds is 15 kilograms, and 88 pounds is 40 kilograms. By comparing these two points, we can determine the slope of the line, which represents the rate of change or the constant of proportionality.
(change in y) / (change in x) = (40 - 15) / (88 - 33) = 25 / 55 = 5 / 11
This means that for every 11-pound increase on the x-axis, the weight in kilograms increases by 5. Using this proportionality, we can calculate the weight in pounds corresponding to 45 kilograms:
(change in x) = (change in y) * (11/5)
(change in x) = 45 * (11/5) = 99
Therefore, an item weighing 45 kilograms would weigh approximately 99 pounds.
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.
Book Sales Revenue
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What is the constant of proportionality?
0.67
1
1.5
2