At the coffee shop, the cost for using the internet is proportional to the time it's used. It costs $2 per hour to use the internet. Select the graph drawn to show this relationship, where x represents the number of hours and y represents the cost. (1 point)
Unfortunately, there are no graphs provided in your question. However, the relationship between the number of hours and the cost can be represented by a line with a positive slope. The equation for this relationship is y = 2x, where y represents the cost and x represents the number of hours.
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)
If the amount of water is directly proportional to the number of cups of rice, we can write the equation as y = kx, where y represents the amount of water, x represents the number of cups of rice, and k is the constant of proportionality.
Given the coordinate (1/2, 1), we can substitute these values into the equation to find the value of k:
1 = k(1/2)
1 = k/2
k = 2
Now with the value of k, we can find another point on the graph. Let's choose x = 2:
y = 2(2)
y = 4
Therefore, another point on the graph would be (2, 4).
The amount of water is directly proportional to the number of cups of rice. The coordinate (1/2, 1) i on the graph of this proportional relationship. Identify another point on the graph. (1 point)
(1/4, 2)
(3/2, 3)
(2/3, 4)
(2, 6)
To determine whether a given coordinate is another point on the graph, we need to use the equation for direct proportionality, which can be written as y = kx, where y represents the amount of water, x represents the number of cups of rice, and k is the constant of proportionality.
Given the coordinate (1/2, 1), we can substitute these values into the equation to find the value of k:
1 = k(1/2)
1 = k/2
k = 2
Now, let's check each option by substituting the values into the equation y = kx:
For (1/4, 2):
2 = 2(1/4)
2 = 1/2 (not equal to 2), so this option is not another point on the graph.
For (3/2, 3):
3 = 2(3/2)
3 = 3 (equal to 3), so this option is another point on the graph.
For (2/3, 4):
4 = 2(2/3)
4 = 4/3 (not equal to 4), so this option is not another point on the graph.
For (2, 6):
6 = 2(2)
6 = 4 (not equal to 6), so this option is not another point on the graph.
Therefore, the only other point on the graph is (3/2, 3).
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)
Bella
Ruby
Greg
Paul
Talia noticed a sale at her favorite store. The points on the graph show how many items she bought of each. T-shirts were selling for $5 each, long sleeve shirts were $10 each, jeans were discounted to $15 each, and sweaters were on sale for $25 each. Name the point corresponding to the number of pairs of jeans Talia purchased.
(1 point)
D
A
C
B
To identify the point corresponding to the number of pairs of jeans Talia purchased, we need to look for the x-coordinate that represents the number of jeans.
Since the options provided are not clear, I cannot provide a specific answer for the given options D, A, C, and B without knowing their specific information on the graph. Please provide more information or clearly define which point corresponds to the number of pairs of jeans Talia purchased.