At the deli counter in the supermarket, Nigel paid $10 for 2 1/2 pounds of roast beef. The cost of deli meat is proportional to its weight. What is the equation for the graph of this proportional relationship?(1 point)
The correct graph that shows the relationship between the cost for using the internet and the time it's used is:
A graph with the x-axis ranging from 0 to 6 in increments of 2 and the y-axis ranging from 0 to 3 in increments of 1 shows a line ending with an arrow. The line passes through the plotted points (0, 0), (2, 1), (4, 2), and (6, 3).
To determine the age of a dog if a human is 3 years old, we can use the proportional relationship shown in the graph.
We are given that the line passes through the point (3,21), which means that when a human is 3 years old, the corresponding dog's age is 21.
Since the age of a dog is proportional to the age of a human, we can set up a proportion to find the age of the dog:
3 (human age) / 21 (dog age) = 3 (given human age) / x (unknown dog age)
Cross multiplying, we get:
3 * x = 21 * 3
x = 21
Therefore, a 3-year-old human is the same as a 21-year-old dog.
To identify another point on the graph given the coordinate (12, 1), we need to find a point that satisfies the direct proportional relationship between the amount of water and the number of cups of rice.
By using the given coordinate (12, 1), we can write the proportion:
previous number of cups of rice / previous amount of water = new number of cups of rice / new amount of water.
Substituting the values:
1 / 12 = new number of cups of rice / new amount of water.
We can choose a new number of cups of rice and solve for the corresponding new amount of water.
From the given choices, the only option that satisfies the proportion is:
(2, 6), which means that when there are 6 cups of rice, the amount of water is 2.
Therefore, another point on the graph that satisfies the proportional relationship is (2, 6)
Let's assume that the cost of deli meat is x and the weight is y.
We are given that Nigel paid $10 for 2 1/2 pounds of roast beef, which means that the cost is 10 and the weight is 2.5.
Since the cost of deli meat is proportional to its weight, we can write the equation as:
x/y = 10/2.5
Simplifying this equation:
x/y = 4
Cross multiplying:
x = 4y
Therefore, the equation for the graph of this proportional relationship is x = 4y.
Graph Proportional Relationships Practice
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Question
Use the image to answer the question.
At the Custard Creamery, the cost of ice cream custard is directly proportional to its weight in ounces. Complete the equation of the graph with its constant of proportionality.
(1 point)
$$y = x
Check Answer
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Use the image to answer the question.
A graph shows the x-axis representing weight in ounces ranging from 0 to 6 in increments of 2, and the y-axis representing cost in dollars ranging from 0 to 15 in increments of 5. A line is drawn ending with an arrow. The line begins at the origin and passes through left parenthesis 2 comma 10 right parenthesis.
At the Custard Creamery, the cost of ice cream custard is directly proportional to its weight in ounces. Complete the equation of the graph with its constant of proportionality.
(1 point)
$$
Since the cost of ice cream custard is directly proportional to its weight in ounces, we can use the two given points on the graph to find the constant of proportionality.
The two given points are (0,0) and (2,10).
We can use the formula for the slope of a line (m):
m = (y2 - y1) / (x2 - x1)
Substituting the values, we get:
m = (10 - 0) / (2 - 0) = 10 / 2 = 5
The constant of proportionality (k) is equal to the slope of the line. Therefore, the equation for the graph is:
y = 5x
Use the image to answer the question.
A graph shows the x-axis representing age of human in years ranging from 0 to 8 in increments of 1, and the y-axis representing age of dog in years ranging from 0 to 24 in increments of 3. A line is drawn. The line begins at the origin and passes through left parenthesis 3 comma 21 right parenthesis.
The age of a dog is proportional to the age of a human. Based on the graph, determine a dog’s age if a human is 3 years old.
(1 point)
A 3-year-old human is the same as a
-year-old dog.
Use the image to answer the question.
A line graph shows gasoline in gallons on the x-axis and cost in dollars on the y-axis. The x-axis ranges from 0 to 16 in increments of 2. The y-axis ranges from 0 to 40 in increments of 5. A line starts at the origin and passes through plotted point X at left parenthesis 9.375 comma 30 right parenthesis.
Trisha’s mom asked her to fill up the car’s gas tank and gave her $30 . The graph shows the total cost of gas based on the number of gallons. The point X shows the number of gallons of gasoline Trisha can purchase. State, to the nearest whole, the number of gallons of gasoline she can purchase.
(1 point)
gallons
To determine the number of gallons of gasoline Trisha can purchase with $30, we need to look at the plotted point (9.375, 30) on the graph.
Based on the x-axis representing gallons of gasoline, we can determine that Trisha can purchase approximately 9 gallons of gasoline.
Therefore, the number of gallons of gasoline she can purchase, to the nearest whole number, is 9 gallons.