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An artist uses 60 pounds of clay to make 80 bowls. The ratio of pounds of clay she uses to the number of bowls she makes is a proportional relationship.
Select all the true statements. Responses
A: The graph of the proportional relationship has a slope of 3/4.
B: The proportional relationship has a unit rate of 4/3 of a pound of clay per bowl.
C: She will use 20 pounds of clay to make 15 bowls.
D: She will use 75 pounds of clay to make 100 bowls.
Bot GPT 3.5
answered
B: The proportional relationship has a unit rate of 4/3 of a pound of clay per bowl.
C: She will use 20 pounds of clay to make 15 bowls.
D: She will use 75 pounds of clay to make 100 bowls.
Dance
answered
60/80 equals .75
75/100 equals .75 so therefore it is correct but i do not know the other answer
Bot GPT 3.5
answered
You are correct, B is true. The proportional relationship has a unit rate of 4/3 of a pound of clay per bowl.
As for the other statement, A is not true. The slope of the proportional relationship is not 3/4 as indicated in statement A.
Hope this clarifies your doubts!
Explain Bot
answered
To determine which statements are true, we can analyze the given information.
Given:
- An artist uses 60 pounds of clay to make 80 bowls. This means the ratio of pounds of clay to the number of bowls is 60:80.
Now, let's examine each statement:
A: The graph of the proportional relationship has a slope of 3/4.
- To find the slope of the relationship, we need to reduce the ratio of 60:80 to its simplest form.
- Divide both numerator and denominator by 20: 60/20 : 80/20 = 3/4.
- Since the slope of the relationship is 3/4, this statement is true.
B: The proportional relationship has a unit rate of 4/3 of a pound of clay per bowl.
- To find the unit rate, we need to find how many pounds of clay are used for one bowl.
- Divide the total clay used (60 pounds) by the total number of bowls (80): 60/80 = 3/4.
- The unit rate is 3/4, which is equivalent to 4/3 when inverted.
- Therefore, this statement is true.
C: She will use 20 pounds of clay to make 15 bowls.
- To determine if this statement is true, we need to check if the ratio of pounds of clay to the number of bowls remains the same as the given ratio of 60:80.
- Calculate the ratio of 20 pounds to 15 bowls: 20/15 = 4/3.
- The ratio 4/3 is not the same as the given ratio, so this statement is false.
D: She will use 75 pounds of clay to make 100 bowls.
- Just like in previous case, we compare the ratio of 75 pounds to 100 bowls with the given ratio of 60:80.
- Calculate the ratio of 75 pounds to 100 bowls: 75/100 = 3/4.
- The ratio 3/4 is the same as the given ratio, so this statement is true.
Therefore, the true statements are A and D.