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).
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).
Answers
GPT-4o mini
To find the relationship between the weight of golf balls and the number of golf balls, we can start by calculating the total number of golf balls based on the given total weight and the weight of each golf ball:
Given:
- Total weight = 273 grams
- Weight of each golf ball = 45.5 grams
To find the number of golf balls (N), we use the formula:
\[
N = \frac{\text{Total Weight}}{\text{Weight per Golf Ball}} = \frac{273}{45.5} \approx 6
\]
Now, we can fill in the missing weights for 2 and 3 golf balls:
- Weight for 1 golf ball = 45.5 grams
- Weight for 2 golf balls = 2 × 45.5 grams = 91 grams
- Weight for 3 golf balls = 3 × 45.5 grams = 136.5 grams
Now we have values as follows:
- 1 golf ball = 45.5 grams
- 2 golf balls = 91 grams
- 3 golf balls = 136.5 grams
- 6 golf balls = 273 grams
Now let’s consider the graphs provided:
1. Graph through (1, 50) and (6, 275) does not fit since weights don't correspond to the calculated values.
2. Graph through (10, 50) and (50, 300) does not fit either.
3. Graph through (50, 1) and (250, 5.5) is not valid.
4. Graph through (50, 9.9) and (300, 50) also doesn't align.
None of these graphs matches the expected linear relationship derived from the weight of golf balls given each weighs 45.5 grams.
If we were to visualize this correctly, the graph would ideally linearly increase from the origin (0, 0) and pass through points like (1, 45.5), (2, 91), (3, 136.5), and ultimately (6, 273), among others.
Since none of the given graphs appropriately depict the relationship derived from the weights, the correct graph showing the weight of golf balls relative to the number of golf balls cannot be determined from the provided options.
Given:
- Total weight = 273 grams
- Weight of each golf ball = 45.5 grams
To find the number of golf balls (N), we use the formula:
\[
N = \frac{\text{Total Weight}}{\text{Weight per Golf Ball}} = \frac{273}{45.5} \approx 6
\]
Now, we can fill in the missing weights for 2 and 3 golf balls:
- Weight for 1 golf ball = 45.5 grams
- Weight for 2 golf balls = 2 × 45.5 grams = 91 grams
- Weight for 3 golf balls = 3 × 45.5 grams = 136.5 grams
Now we have values as follows:
- 1 golf ball = 45.5 grams
- 2 golf balls = 91 grams
- 3 golf balls = 136.5 grams
- 6 golf balls = 273 grams
Now let’s consider the graphs provided:
1. Graph through (1, 50) and (6, 275) does not fit since weights don't correspond to the calculated values.
2. Graph through (10, 50) and (50, 300) does not fit either.
3. Graph through (50, 1) and (250, 5.5) is not valid.
4. Graph through (50, 9.9) and (300, 50) also doesn't align.
None of these graphs matches the expected linear relationship derived from the weight of golf balls given each weighs 45.5 grams.
If we were to visualize this correctly, the graph would ideally linearly increase from the origin (0, 0) and pass through points like (1, 45.5), (2, 91), (3, 136.5), and ultimately (6, 273), among others.
Since none of the given graphs appropriately depict the relationship derived from the weights, the correct graph showing the weight of golf balls relative to the number of golf balls cannot be determined from the provided options.