For this case we have the following functions:
By definition of composition of functions we have:
Then substituting:
So:
Answer:
X = pencils, y = pens
8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75
4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50
The decimal in standard form for 12 and six hundredths is 12.06
Given function is a direct variation
Step-by-step explanation:
The direct proportion is defined as the increase in one quantity causes increase in other quantity.
If y is directly proportional to x, then it is given as:
y = kx
where k is the constant of proportionality
Given
y = 3x
Comparing the general form and given equation we see that both are same where k =3
So,
Given function is a direct variation
Keywords: Variation, functions
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