Question
The total weight of the golf balls from Julio’s golf bag was 273 grams. If each golf ball weighed 45.5 grams, which graph shows the weight of golf balls as it relates to the number of golf balls?
Weight of Golf Balls
Number of Golf Balls
Weight (in grams)
1
45.5
2
?
3
?
?
273
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (1, 50) and (6, 275).
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (10, 50) and (50, 300).
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (50, 1) and (250, 5.5).
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (50, 9.9) and (300, 50). abc or d
Weight of Golf Balls
Number of Golf Balls
Weight (in grams)
1
45.5
2
?
3
?
?
273
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (1, 50) and (6, 275).
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (10, 50) and (50, 300).
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (50, 1) and (250, 5.5).
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (50, 9.9) and (300, 50). abc or d
Answers
GPT-4o mini
To find the correct graph that shows the relationship between the weight of golf balls and the number of golf balls, you can use the information provided.
Each golf ball weighs 45.5 grams, which means the weight (in grams) can be calculated with the formula:
\[
\text{Weight} = \text{Number of Golf Balls} \times 45.5
\]
We know that the total weight of the golf balls is 273 grams, so we can find the number of golf balls with:
\[
\text{Number of Golf Balls} = \frac{\text{Weight}}{45.5} = \frac{273}{45.5} \approx 6
\]
So there are approximately 6 golf balls, and the corresponding weight would be:
- For 1 golf ball: \(1 \times 45.5 = 45.5\) grams
- For 2 golf balls: \(2 \times 45.5 = 91\) grams
- For 3 golf balls: \(3 \times 45.5 = 136.5\) grams
- For 6 golf balls: \(6 \times 45.5 = 273\) grams
Now, looking at the graphs:
1. The first graph goes through (1, 50) and (6, 275). The point (6, 275) is not accurate (it should be (6, 273)).
2. The second graph goes through (10, 50) and (50, 300). This doesn't show the correct weight for the number of golf balls.
3. The third graph goes through (50, 1) and (250, 5.5). This graph does not represent an accurate linear relationship for the weights of golf balls.
4. The fourth graph goes through (50, 9.9) and (300, 50). This also does not correlate with the weights of golf balls.
Since none of the graphs provided are accurate, it appears there might be an error with the options given.
However, from our calculations, the relationship stated is directly proportional with a slope of 45.5 grams per golf ball—indicating a graph that would pass through points like (1, 45.5), (6, 273), etc., and should ideally reflect that linear relationship.
Please ensure the options provided correctly represent this function, or check for any errors in the graph descriptions. If there were only valid choices, the graph with the correctly aligned proportional points should be (x, y) corresponding to (1, 45.5), (2, 91), (3, 136.5), ..., and (6, 273).
Each golf ball weighs 45.5 grams, which means the weight (in grams) can be calculated with the formula:
\[
\text{Weight} = \text{Number of Golf Balls} \times 45.5
\]
We know that the total weight of the golf balls is 273 grams, so we can find the number of golf balls with:
\[
\text{Number of Golf Balls} = \frac{\text{Weight}}{45.5} = \frac{273}{45.5} \approx 6
\]
So there are approximately 6 golf balls, and the corresponding weight would be:
- For 1 golf ball: \(1 \times 45.5 = 45.5\) grams
- For 2 golf balls: \(2 \times 45.5 = 91\) grams
- For 3 golf balls: \(3 \times 45.5 = 136.5\) grams
- For 6 golf balls: \(6 \times 45.5 = 273\) grams
Now, looking at the graphs:
1. The first graph goes through (1, 50) and (6, 275). The point (6, 275) is not accurate (it should be (6, 273)).
2. The second graph goes through (10, 50) and (50, 300). This doesn't show the correct weight for the number of golf balls.
3. The third graph goes through (50, 1) and (250, 5.5). This graph does not represent an accurate linear relationship for the weights of golf balls.
4. The fourth graph goes through (50, 9.9) and (300, 50). This also does not correlate with the weights of golf balls.
Since none of the graphs provided are accurate, it appears there might be an error with the options given.
However, from our calculations, the relationship stated is directly proportional with a slope of 45.5 grams per golf ball—indicating a graph that would pass through points like (1, 45.5), (6, 273), etc., and should ideally reflect that linear relationship.
Please ensure the options provided correctly represent this function, or check for any errors in the graph descriptions. If there were only valid choices, the graph with the correctly aligned proportional points should be (x, y) corresponding to (1, 45.5), (2, 91), (3, 136.5), ..., and (6, 273).