Angela bought gifts for her friends, and each gift cost $10. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of gifts she bought.
y = 9x
y = 10x
y = one-tenth x
y = one-ninth x
y = 10x
The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality? (4 points)
Cheddar Corn Caramel Corn
10 15
20 30
30 45
1.5
5
15
0.67
To find the constant of proportionality, we need to determine the ratio between cheddar corn and caramel corn in each row.
For the first row (10 cheddar corn and 15 caramel corn), the ratio is 15/10 = 1.5.
For the second row (20 cheddar corn and 30 caramel corn), the ratio is 30/20 = 1.5.
For the third row (30 cheddar corn and 45 caramel corn), the ratio is 45/30 = 1.5.
Therefore, the constant of proportionality is 1.5.
Every female rabbit has 5 baby rabbits. What is the constant of proportionality for the ratio of baby rabbits to female rabbits?
one-fourth
5
4
one-fifth
The constant of proportionality for the ratio of baby rabbits to female rabbits can be determined by dividing the number of baby rabbits by the number of female rabbits.
In this case, since every female rabbit has 5 baby rabbits, the constant of proportionality is 5.
Therefore, the correct option is: 5.
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 17. Four points are shown on the graph on ordered pairs 0, 4 and 2, 8 and 3, 12 and 4, 16. These points are joined by a line. The label on the x-axis is Number of boats. The title on the y-axis is Number of passengers.
Yes, it is a proportional relationship because the graph goes through the origin
No, it is not a proportional relationship because the graph does not go through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
Yes, it is a proportional relationship because the graph is a straight line.
The table shows the amount of blue paint that can be added to different amounts of yellow paint while making a custom paint color:
Paint Color
Quarts of Blue Paint Quarts of Yellow Paint
2 8
3 12
5 20
6 24
Which statement is true about the ratio of blue paint to yellow paint in the paint color? (4 points)
It is 1:6.
It is 6:1.
It is 1:4.
It is 4:1.
To determine the ratio of blue paint to yellow paint, we can divide the number of quarts of blue paint by the number of quarts of yellow paint for each row in the table:
For the first row (2 quarts of blue paint and 8 quarts of yellow paint), the ratio is 2/8 = 1/4.
For the second row (3 quarts of blue paint and 12 quarts of yellow paint), the ratio is 3/12 = 1/4.
For the third row (5 quarts of blue paint and 20 quarts of yellow paint), the ratio is 5/20 = 1/4.
For the fourth row (6 quarts of blue paint and 24 quarts of yellow paint), the ratio is 6/24 = 1/4.
Therefore, the ratio of blue paint to yellow paint in the paint color is 1:4.
The correct statement is: It is 1:4.
The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 9. These points are joined by a line. The label on the x-axis is Bags of caramel corn. The title on the y-axis is Total cost in dollars.
What does the point (0, 0) on the graph represent? (4 points)
The cost of zero bags of caramel corn
The cost of one bag of caramel corn
The cost of two bags of caramel corn
The cost of three bags of caramel corn