Use the table to answer the question.
Raspberry | Lemonade
1 2.5
2 5
4 10
6 15
Rosie is planning to make raspberry lemonade for a party. She needs to add 2 scoops of raspberry to every 5 cups of lemonade. The data table shows the ratios needed. At what ratio does the constant of proportionality appear?
A. (2.5, 1)
B. (5, 2)
C. (1, 2.5)
D. (2, 5)
The constant of proportionality appears when the ratio of scoops of raspberry to cups of lemonade remains the same. Looking at the table, we can see that as the number of scoops of raspberry doubles, the number of cups of lemonade also doubles. Therefore, the constant of proportionality appears at the ratio (2, 5).
The answer is D. (2, 5).
Use the table to answer the question.
# of Trees | # of Apples
2 26
3 39
6 78
10 130
12 156
Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why.
A. Yes, the data table has a proportional relationship.
B. No, the ratio 6 : 78 is not proportional to other ratios.
C. No, the table does not count consecutively.
D. No, the ratios are not equivalent.
To determine if the quantities in the data table are in a proportional relationship, we need to check if we can create equivalent ratios.
Let's check:
26/2 = 13
39/3 = 13
78/6 = 13
130/10 = 13
156/12 = 13
Since all the ratios are equal to 13, the quantities in the data table are in a proportional relationship.
The answer is A. Yes, the data table has a proportional relationship.
If a graph is proportional, what characteristic does it display?
A. It will have y-values larger than their corresponding x-values
B. It will climb rapidly, indicating a steep slope
C. It will pass through the point (0, 0).
D. It will curve.
If a graph is proportional, it will display the characteristic of passing through the point (0, 0), which is the origin.
The answer is C. It will pass through the point (0, 0).
If Chase runs 5 miles in 60 minutes, how far will he run in 3 hours if he continues to run at the same rate?
A. 1/4 miles
B. 36 miles
C. 0.067 miles
D. 15 miles
If Chase runs 5 miles in 60 minutes, we can determine his running rate by dividing the distance by the time.
Running rate = Distance / Time = 5 miles / 60 minutes
To calculate how far he will run in 3 hours (180 minutes) at the same rate, we can multiply his running rate by the new time:
Distance = Running rate x Time = (5 miles / 60 minutes) x 180 minutes = 15 miles
Therefore, Chase will run 15 miles in 3 hours if he continues to run at the same rate.
The answer is D. 15 miles.
A whale swims 200 miles in 5 days. Identify which equation could be used to find how many miles it swims in 16 days.
A. y= 40 x 16
B. y=200 x 16 x 5
C. y=200 x 16
D. 200= 16x
To find out how many miles the whale swims in 16 days, we need to determine the relationship between the number of miles and the number of days.
Since the whale swims 200 miles in 5 days, we can determine its average daily swimming distance by dividing the total distance by the number of days:
Average daily swimming distance = Total distance / Number of days = 200 miles / 5 days = 40 miles per day.
To find the total distance the whale swims in 16 days, we can multiply the average daily swimming distance by the number of days:
Total distance = Average daily swimming distance x Number of days = 40 miles/day x 16 days = 640 miles.
Therefore, the equation that could be used to find how many miles the whale swims in 16 days is:
A. y= 40 x 16
The answer is A.
Which ratio is equivalent to 9 over 78?
A. 1/8
B. 3/26
C. 3/18
D. 1/3
To find the equivalent ratio to 9 over 78, we need to simplify the fraction.
The numerator, 9, does not have any common factors with the denominator, 78. Therefore, we cannot simplify the fraction any further.
So, the equivalent ratio to 9 over 78 is:
A. 1/8
The answer is A. 1/8.
Find the slope of the line given its graph.
A. -1/9
B. -4 1/2
C. 9
D. -9
Without a graph, I cannot determine the slope of the line. Please provide me with the graph or additional information so that I can assist you further.
give me your best answer
Unfortunately, without a graph or any additional information, it is impossible to determine the slope of the line. I apologize for the inconvenience.
dot on 5 arrow on the top goes up to ten but a dot on the arrow goes to 9 bottom arrow goes all the way to -10
Thank you for providing additional information. Based on the description, the given graph suggests that the starting point is 5 and the top arrow reaches 10, while the bottom arrow reaches -10.
To find the slope of the line, we can use the formula:
Slope = (change in y) / (change in x)
In this case, the change in y is 10 - 5 = 5 (going from 5 to 10 on the top arrow)
The change in x is 9 - 5 = 4 (going from 5 to 9 with the dot on the arrow)
Therefore, the slope of the line is 5/4.
The closest option is A. -1/9.
However, please note that without seeing the actual graph, it is difficult to provide an accurate answer.
Jimmy reads 15 pages in 5 minutes. Carlo reads 12 pages in 6 minutes. Find each constant of proportionality, showing your work. Then write a sentence to compare the proportional relationships.
To find the constant of proportionality for each scenario, we can use the formula:
Constant of proportionality = Number of pages / Number of minutes
For Jimmy, the constant of proportionality is:
15 pages / 5 minutes = 3 pages/minute
For Carlo, the constant of proportionality is:
12 pages / 6 minutes = 2 pages/minute
So, the constant of proportionality for Jimmy is 3 pages/minute, and for Carlo, it is 2 pages/minute.
To compare the proportional relationships, we can say:
Jimmy reads 3 pages per minute, while Carlo reads 2 pages per minute. Therefore, Jimmy reads at a faster rate than Carlo, as his constant of proportionality is larger.
shorten it
Jimmy reads at a rate of 3 pages per minute, while Carlo reads at a rate of 2 pages per minute. Jimmy reads faster than Carlo.
Arigato.
You're welcome! If you have any more questions, feel free to ask. Arigato!
Which of these objects would reach 100 feet in the least amount of time
To determine which object would reach 100 feet in the least amount of time, we need more information about the objects. The question does not provide any details or specifications regarding the objects or their characteristics. Without that information, it is not possible to make a determination.
If you can provide more details about the objects, I would be happy to assist you further.
Jamal is creating toys to sell. He is averaging 8 toys every 5 days. If he continues at this rate, how many days will it take to fill an order of 75? Round to the nearest whole number of days. (1 point)
Responses
10 days
10 days
120 days
120 days
47 days
47 days
375 days
To find out how many days it will take Jamal to fill an order of 75 toys, we can set up a proportion using his average rate:
8 toys / 5 days = 75 toys / x days
To solve for x, we can cross-multiply:
8x = 5 * 75
8x = 375
Divide both sides of the equation by 8:
x = 375 / 8
x ≈ 46.875
Rounding to the nearest whole number, it will take approximately 47 days for Jamal to fill an order of 75 toys.
The answer is 47 days.