The equation of the graph can be written as y = kx, where y represents the cost of ice cream custard in dollars, x represents the weight of the ice cream custard in ounces, and k represents the constant of proportionality.
To find the value of k, we can use the given point (2, 10) on the graph.
Substituting x = 2 and y = 10 into the equation y = kx, we get:
10 = k * 2
Solving for k, we divide both sides of the equation by 2:
k = 10 / 2
k = 5
Therefore, the equation of the graph with its constant of proportionality is y = 5x.
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.(
6 answers
Graph Proportional Relationships PracticeComplete this assessment to review what you’ve learned. It will not count toward your grade.3 of 53 of 5 ItemsQuestionUse 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.Skip to navigation
To determine a dog's age if a human is 3 years old, we can use the given point (3, 21) on the graph.
Since the graph represents a proportional relationship, we can set up a proportion to solve for the missing value:
Human age / Dog age = Constant of proportionality
Using the point (3, 21), we have:
3 / 21 = (Human age) / (Dog age)
Simplifying the expression, we get:
1 / 7 = (Human age) / (Dog age)
Now we can substitute the human age of 3 into the equation and solve for the dog age:
1 / 7 = 3 / (Dog age)
To solve for the dog age, we cross multiply:
1 * (Dog age) = 7 * 3
Dog age = 21
Therefore, if a human is 3 years old, the dog would be 21 years old.
Since the graph represents a proportional relationship, we can set up a proportion to solve for the missing value:
Human age / Dog age = Constant of proportionality
Using the point (3, 21), we have:
3 / 21 = (Human age) / (Dog age)
Simplifying the expression, we get:
1 / 7 = (Human age) / (Dog age)
Now we can substitute the human age of 3 into the equation and solve for the dog age:
1 / 7 = 3 / (Dog age)
To solve for the dog age, we cross multiply:
1 * (Dog age) = 7 * 3
Dog age = 21
Therefore, if a human is 3 years old, the dog would be 21 years old.
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) gallonsSkip to navigation
To determine the number of gallons of gasoline Trisha can purchase, we can use the given point (9.375, 30) on the graph.
At point X, the x-coordinate represents the number of gallons of gasoline Trisha can purchase. Therefore, to the nearest whole number, Trisha can purchase approximately 9 gallons of gasoline.
At point X, the x-coordinate represents the number of gallons of gasoline Trisha can purchase. Therefore, to the nearest whole number, Trisha can purchase approximately 9 gallons of gasoline.
Use the image to answer the question.
A line graph shows time in weeks on the x-axis and total in dollars on the y-axis. The x-axis ranges from 0 to 8 in increments of 1. The y-axis ranges from 0 to 160 in increments of 20. A line starts at the origin and passes through plotted points left parenthesis 2 comma 50 right parenthesis; left parenthesis 3 comma 75 right parenthesis; and left parenthesis 4 comma 100 right parenthesis.
Miley is saving for a new pair of boots. They cost $150 . Every week, she puts $25 into her savings account. Based on the graph, state the number of weeks it will take for her to save enough money to buy the boots.
(1 point)
weeks
A line graph shows time in weeks on the x-axis and total in dollars on the y-axis. The x-axis ranges from 0 to 8 in increments of 1. The y-axis ranges from 0 to 160 in increments of 20. A line starts at the origin and passes through plotted points left parenthesis 2 comma 50 right parenthesis; left parenthesis 3 comma 75 right parenthesis; and left parenthesis 4 comma 100 right parenthesis.
Miley is saving for a new pair of boots. They cost $150 . Every week, she puts $25 into her savings account. Based on the graph, state the number of weeks it will take for her to save enough money to buy the boots.
(1 point)
weeks
1 answer