Jonah and Aditi make wooden dishes. Jonah makes wooden bowls and Aditi makes wooden plates.
The equation below represents the number of wooden bowls Jonah can make, where x represents the number of hours and y represents the number of wooden bowls.
Y=4/3x
Aditi can make 5 wooden plates in 4 hours.
Compare the unit rates for Jonah and Aditi to determine which is smaller. Then, plot the ordered pairs that represent the proportional relationship with the smaller unit rate.
To compare the unit rates for Jonah and Aditi, we need to determine the number of wooden bowls Jonah can make in one hour and the number of wooden plates Aditi can make in one hour.
For Jonah, we need to find the value of y when x = 1 in the equation Y = (4/3)x.
Substituting x = 1 into the equation, we get:
Y = (4/3)(1)
Y = 4/3
So Jonah can make 4/3 wooden bowls in one hour. This is the unit rate for Jonah.
For Aditi, we know that she can make 5 wooden plates in 4 hours. To find the unit rate, we divide the number of plates by the number of hours:
5 plates / 4 hours = 1.25 plates/hour
Comparing the unit rates, we see that Jonah can make 4/3 wooden bowls in one hour, while Aditi can make 1.25 wooden plates in one hour. Since the unit rate for Jonah is smaller, we can conclude that Jonah has the smaller unit rate.
To plot the ordered pairs that represent the proportional relationship with the smaller unit rate, we can use the values of x and y from the equation Y = (4/3)x. We will choose different values for x and calculate the corresponding values of y.
Let's choose x = 3. Substituting this into the equation, we get:
Y = (4/3)(3)
Y = 4
So when x = 3, y = 4. The ordered pair representing this proportional relationship is (3, 4).
Similarly, let's choose x = 6. Substituting this into the equation, we get:
Y = (4/3)(6)
Y = 8
So when x = 6, y = 8. The ordered pair representing this proportional relationship is (6, 8).
We can continue this process to find more ordered pairs and plot them on a graph.
you got the question wrong it was 0,0 4,5 and 8,10
Apologies for misunderstanding the question.
If the ordered pairs representing the proportional relationship are (0,0), (4,5), and (8,10), then we can plot these points on a graph.
The first point is (0,0), where neither Jonah nor Aditi have produced any wooden dishes.
The second point is (4,5), which means Jonah has made 4 wooden bowls and Aditi has made 5 wooden plates.
The third point is (8,10), indicating that Jonah has made 8 wooden bowls and Aditi has made 10 wooden plates.
Plotting these points on a graph, we can see the proportional relationship between the number of hours and the number of wooden dishes produced by Jonah and Aditi.
no
Apologies for the error.
Plotting the given ordered pairs (0,0), (4,5), and (8,10) on a graph, we will draw a line connecting these points to represent the proportional relationship between the number of hours and the number of wooden dishes produced by Jonah and Aditi.
The first point is (0,0), which represents that neither Jonah nor Aditi have produced any wooden dishes.
The second point is (4,5), indicating that Jonah has made 4 wooden bowls and Aditi has made 5 wooden plates.
The third point is (8,10), which means Jonah has made 8 wooden bowls and Aditi has made 10 wooden plates.
Connecting these points, we obtain a line that represents the proportional relationship.
no.
Apologies for the confusion. Given the correct ordered pairs (0,0), (4,5), and (8,10), let's plot them on a graph.
The first point is (0,0), which represents that neither Jonah nor Aditi have produced any wooden dishes.
The second point is (4,5), indicating that Jonah has made 4 wooden bowls and Aditi has made 5 wooden plates.
The third point is (8,10), which means Jonah has made 8 wooden bowls and Aditi has made 10 wooden plates.
Plotting these points on a graph, we can see the proportional relationship between the number of hours and the number of wooden dishes produced by Jonah and Aditi.
i know but you still got the question wrong.
Apologies for the continued misunderstanding.
The correct ordered pairs given are (0,0), (4,5), and (8,10).
Plotting these points on a graph, we can connect the points to represent the proportional relationship between the number of hours and the number of wooden bowls produced by Jonah and the number of wooden plates produced by Aditi.
The correct line connecting these points should pass through the origin (0,0) and have a positive slope.