1.)David is starting a collection of baseball cards. He currently has 16 cards in his collection. He hopes to buy 5 more each mo
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1) Iteration means a repetition of a rule.
a)
Considering that we have the following data:
Rate of increase: 5% per year
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2) Then we can write out the following:
Plugging into n, the number of years we'll have:
Profits: $30,000 1st year
P: $31.500 2nd year
$33075 3rd year
(...) (...)
b) Since we want to know the predicted profit 15 years from the first year, then we can plug for that:
Note that we have plugged into n, n=15 years. Since the first year was $30,000 the profits.
The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x , y = - (1/2)x .
A linear relationship in the form of y = mx + c is said to be a proportional relationship when c = 0 .
in the question
Part(a)
the equation is y (2)x - 3
on comparing it with y = mx + c , we get c = -3 , which is not 0 .
So , it is not a proportional relationship .
Part(b)
the equation is y (-2)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Part(c)
the equation is y (3/5)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Part(d)
the equation is y - (1/2)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Therefore, The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x , y = - (1/2)x , that are options (b) , (c) and (d) .
The given question is incomplete , the complete question is
Which of the following linear relationships is NOT also a proportional relationship?
(a) y = (2)x - 3
(b) y = (-2)x
(c) y = (3/5)x
(d) y = - (1/2)x
Learn more about Proportionality here
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