Shira's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below
shows the relationship between how many hours students spent studying and their score on the test. A line was fit to the data to model the relationship.
Which of these linear equations best describes the given model?
Which of these linear equations best describes the given model?
1 answer:
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Answer:
-- Cone
-- Cylinder
-- Sphere
<em>Best Buy: Sphere Clay</em>
Step-by-step explanation:
Given
Solid Shapes: Cone, Cylinder, Sphere
Cost of Cone Clay = $12
Cost of Cylinder Clay = $30
Cost of Sphere Clay = $28
Required
Determine the volume of each shape
Which is the best buy
<h2>CONE</h2><h3>Calculating Volume</h3>The volume of a cone is calculated as thus;
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and
Substitute these values in the above formula;
The unit cost of the cone is calculated as thus;
Where
(Given)
The volume of a cylinder is calculated as thus;
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and
Substitute these values in the above formula;
The unit cost of the cone is calculated as thus;
Where
(Given)
The volume of a sphereis calculated as thus;
From the attached diagram
Radius, r = 9 inches; and
Substitute these values in the above formula;
The unit cost of the cone is calculated as thus;
Where
(Given)
Comparing the Volume:Price ratio of the three clay;
<em>The best buy is the sphere because it has the highest volume:price ratio.</em>
<em>Having the highest volume:price ratio means that with $1, one can get more clay from the sphere compared to other types of clay</em>
