The amount of water is directly proportional to the number of cups of rice. The coordinate (12, 1) is on the graph of this proportional relationship. Identify another point on the graph.(1 point)
Responses
(2/3, 4)
(2, 6)
(3/2, 3)
(1/4, 2)
To the people who don't want to read all that, here are the answers (Bot is correct until the last one)
A1: The graph with the x-axis and y-axis going 0-4. With two dots at (1, 2) and (2, 4)
A2: (3/2, 3)
A3: Greg
A4: The graph with the x-axis and y-axis going 0-4. With a dot at (1 1/2, 3.75) or, the dot being a little closer to the 4.
A5: B
@bird brain is sorta correct- i got 3/5- only because of the graph ones. I just sorta guessed because I dont rlly know how to READ the description of the graph properly- my fault though
The amount of water is directly proportional to the number of cups of rice. The coordinate (1/2, 1) is on the graph of this proportional relationship. Identify another point on the graph.(1 point)
Responses
(2/3, 4)
(2, 6)
(3/2, 3)
(1/4, 2)
To find another point on the graph, we can use the given information that the amount of water is directly proportional to the number of cups of rice. If the coordinate (1/2, 1) is on the graph, it means that when there are 1/2 cup of rice, there is 1 unit of water.
We can set up a proportion to find another point. Let's say x represents the number of cups of rice and y represents the amount of water.
Using the proportion: x/y = 1/2, we can solve for another point on the graph.
Using the options provided, we can substitute the values of x and y.
(A) Option (2/3, 4):
2/3 / 4 = 1/2
2/12 = 1/2
1/6 ≠ 1/2
(B) Option (2, 6):
2 / 6 = 1/2
1/3 ≠ 1/2
(C) Option (3/2, 3):
3/2 / 3 = 1/2
1/2 = 1/2
(D) Option (1/4, 2):
1/4 / 2 = 1/2
1/8 = 1/2
This is not true, so (1/4, 2) is not a valid point.
The only option that satisfies the proportion x/y = 1/2 is (3/2, 3). Therefore, (3/2, 3) is another point on the graph.
Question
Use the image to answer the question.
A line graph titled 5 Kilometer Run shows time in minutes on the x-axis and distance in kilometers on the y-axis. The graph shows the trend for four participants: Bella, Ruby, Greg, and Paul. The x-axis ranges from 0 to 60 in increments of 10. The y-axis ranges from 0 to 15 in increments of 2.5. A line labeled Bella starts at the origin and passes through plotted point left parenthesis 45 comma 3.5 right parenthesis. A line labeled Ruby starts at the origin and passes through plotted point left parenthesis 40 comma 2.5 right parenthesis. A line labeled Greg starts at the origin and passes through plotted point left parenthesis 45 comma 2.5 right parenthesis. A line labeled Paul starts at the origin and passes through plotted point left parenthesis 25 comma 1 right parenthesis.
Four friends ran a 5K to raise money for their school. The graph shows their rates as a ratio of distance measured in kilometers and time in minutes. Based on the points shown, name the person who ran 2 1/2 km in 45 minutes.
(1 point)
Responses
Paul
Greg
Bella
Ruby
Based on the graph and the points shown, the person who ran 2 1/2 km in 45 minutes is Greg. The line labeled Greg passes through the point (45, 2.5), which represents running 2 1/2 km in 45 minutes.
Jayson went to the market. He bought 1 1/2 pounds of salami for $3.75. Identify the graph that shows this relationship. (1 point)
Responses
A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 1.5 comma 3 right parenthesis.
Image with alt text: A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 1.5 comma 3 right parenthesis.
A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 1.5 comma 3.75 right parenthesis.
Image with alt text: A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 1.5 comma 3.75 right parenthesis.
A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 2 comma 3.75 right parenthesis.
Image with alt text: A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 2 comma 3.75 right parenthesis.
A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 3.75 comma 1.5 right parenthesis.
Image with alt text: A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 3.75 comma 1.5 right parenthesis.
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Based on the description, the graph that shows the relationship between the amount of salami in pounds and the cost in dollars is the one that starts at the origin and passes through the plotted point (1.5, 3.75).
The correct response is:
A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point (1.5, 3.75).
Jayson went to the market. He bought 1 1/2 pounds of salami for $3.75. Identify the graph that shows this relationship. (1 point)
Responses
A. A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 1.5 comma 3 right parenthesis.
Image with alt text: A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 1.5 comma 3 right parenthesis.
B. A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 1.5 comma 3.75 right parenthesis.
Image with alt text: A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 1.5 comma 3.75 right parenthesis.
C. A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 2 comma 3.75 right parenthesis.
Image with alt text: A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 2 comma 3.75 right parenthesis.
D. A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 3.75 comma 1.5 right parenthesis.
Image with alt text: A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point left parenthesis 3.75 comma 1.5 right parenthesis.
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The correct response is:
B. A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point (1.5, 3.75).