Solving by elimination4x-y=-45x=2y+1
1 answer:
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Answer:
He can buy 3 scoops of salts and 4 scoops of pepper or 4 scoops of salts and 3 scoops of pepper spent maximum.
Step-by-step explanation:
Given that:
The cost of salt = 50 cents / scoop =$ 0.5 / scoop
The cost of pepper =75 cents / scoop = $ 0.75 / scoop
Let he buys x scoops of salt and y scoops of pepper.
As he plans to bring home no more than 8 scoops of seasoning, so
The total cost of x scoops of salt and y scoops of pepper = 0.5x+0.75y
As he wants to spend less than $5, so
Here, and x,y are counting numbers.
On plotting the graph of equations (ii) and (ii), the possible solution is the integral values in the shaded as shown in the figure.
The maximum possible integral values, for expances less than $5, are (x,y)=(3,4), (4,3).
Hence, he can buy 3 scoops of salts and 4 scoops of pepper or 4 scoops of salts and 3 scoops of pepper to spent maximum.
The equation of the line is
Explanation:
Given that the set of ordered pairs is (0,0), (2,1), (4,2), (6,3)
We need to determine the equation of the line.
<u>Slope:</u>
The slope of the line can be determined using the formula,
Let us substitute any two coordinates in the formula.
Thus, substituting the coordinates (2,1) and (6,3) in the above formula, we have,
Thus, the slope of the line is
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Let us substitute any one of the coordinates and the slope in the above formula.
Hence, substituting and the coordinate (0,0), we get,
Hence, the equation of the line is