0.035. You add the two numbers together and divide by two
The linear rule should look like this y=a*x+b
As the function graph goes through the (0,0) point, the equation 0=a*0+b <=> b=0 must be true.
Now we only need to find a, using one of the points given. With (-4, 16):
16=-4*a <=> a=16/-4 <=> a= -4
So the rule looks the following way:
f(x)= -4*x
<u><em>Solution:</em></u>
<u><em></em></u>
Hope this helps!
Answer: 2 lbs of cherries
Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb
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Define x and y
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Let x be the number of lb of cherries
Let y be the number of lb of oranges
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Construct equations
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x + y = 6 ---------------------------- (1)
5x + 2y = 18 ---------------------------- (2)
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Solve x and y
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From equation (1):
x + y = 6
x = 6 - y
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Substitute x = 6 - y into equation 2
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5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4
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Substitute y = 4 into equation (1)
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x + y = 6
x + 4 = 6
x = 2
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Find the weight of cherries and oranges
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Cherry = x = 2 lb
Oranges = y = 4 lbs
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Answer: Alex bought 2 lb of cherries
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