How much candy at $1.20 a pound should be mixed with candy worth 95¢ a pound in order to obtain a mixture of 50 pounds of candy
worth a dollar a pound?
2 answers:
Answer:
10 pounds of candy worth $1.20 per pound should be mixed with 40 pounds of candy worth 95¢ per pound
Step-by-step explanation:
Let
x ----> pounds of candy worth at $1.20 a pound
y ----> pounds of candy worth at 95¢ a pound
we know that
The pounds of candy worth at $1.20 a pound plus the pounds of candy worth at 95¢ a pound must be equal to 50 pounds of candy worth a dollar a pound
so
The linear equation that represent this situation
----> equation A
----> equation B
solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (10,40)
see the attached figure
therefore
10 pounds of candy worth $1.20 per pound should be mixed with 40 pounds of candy worth 95¢ per pound
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Answer:
The equation of the regression line is:
Step-by-step explanation:
We have the following data:
We can use the Least Squares Regression to find the line of best fit for a set of paired data.
To find the line of best fit for <em>n</em> points:
Step 1: For each (x,y) point calculate and xy.
Step 2: Sum all x, y, and xy, which gives us Σx, Σy,
and Σxy.
Step 3: Calculate Slope b:
where <em>n</em> is the number of points.
Step 4: Calculate Intercept a:
Step 5: Assemble the equation of a line
Following the above steps we get:
Step 1: Find and xy as it was done in the table
Step 2: Find the sum of every column:
Step 3: Use the following equations to find a and b:
Step 4: Assemble the equation of a line
The graph of the regression line is:
