Answer:
c = 5m + 30
Explanation:
It is given that:
c = total amount of chickens.
m = total amount of months.
x = amount of chickens per month.
30 is the base amount that Junior will have no matter how much months have passed.
Plug in 4 for m (months), and 50 for c (total amount of chicken) in the given equation:
c = xm + 30
50 = x(4) + 30
50 = 4x + 30
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponent (& root)
Multiplication
Division
Addition
Subtraction
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First, subtract 30 from both sides of the equation:
50 = 4x + 30
50 (-30) = 4x + 30 (-30)
50 - 30 = 4x
20 = 4x
Next, divide 4 from both sides of the equation:
(20)/4 = (4x)/4
x = 20/4
x = 5
The amount of chicken per month is 5.
Set the equation. Plug in 5 for x in the given equation:
c = xm + 30
c = 5m + 30
c = 5m + 30 is your answer.
Check. Plug in time per month and find the number of chickens:
Time in months = 0 ; Number of Chickens = 30
(30) = 5(0) + 30
30 = 0 + 30
30 = 30
Time in months = 4 ; Number of chickens = 50
(50) = 5(4) + 30
50 = 20 + 30
50 = 50
Time in months = 720 ; Number of chickens 3630
(3630) = 5(720) + 30
3630 = 3600 + 30
3630 = 3630
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