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.

The graph of the proportional relationship has a slope of.

The proportional relationship has a unit rate of a pound of clay per bowl.

She will use 20 pounds of clay to make 15 bowls.

She will use 75 pounds of clay to make 100 bowls.

3 answers

The graph of the proportional relationship has a slope of 0.75 (60 pounds divided by 80 bowls).

The proportional relationship has a unit rate of 0.75 pounds of clay per bowl.

She will use 20 pounds of clay to make 15 bowls. (This is not true because the unit rate is 0.75 pounds of clay per bowl, so if she makes 15 bowls, she will use 15 x 0.75 = 11.25 pounds of clay.)

She will use 75 pounds of clay to make 100 bowls. (This is not true because the unit rate is 0.75 pounds of clay per bowl, so if she makes 100 bowls, she will use 100 x 0.75 = 75 pounds of clay.)
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.

The graph of the proportional relationship has a slope of 3/4

The proportional relationship has a unit rate of 4/3 a pound of clay per bowl.

She will use 20 pounds of clay to make 15 bowls.

She will use 75 pounds of clay to make 100 bowls.
The graph of the proportional relationship has a slope of 3/4. (This is true because the ratio of pounds of clay to the number of bowls is 60/80, which simplifies to 3/4.)

The proportional relationship has a unit rate of 4/3 a pound of clay per bowl. (This is not true because the unit rate is 3/4 pounds of clay per bowl.)

She will use 20 pounds of clay to make 15 bowls. (This is not true because the unit rate is 3/4 pounds of clay per bowl, so if she makes 15 bowls, she will use 15 x 3/4 = 45/4 pounds of clay.)

She will use 75 pounds of clay to make 100 bowls. (This is not true because the unit rate is 3/4 pounds of clay per bowl, so if she makes 100 bowls, she will use 100 x 3/4 = 75 pounds of clay.)