Answer:
the ratio is 1 : 1.75
Step-by-step explanation:
Answer:
B (300, 400)
Step-by-step explanation:
The profit maximization will be when the sum of the products will be greater. The maximum profit will be when x is 300 and y is 400. If we put in the equation :
P = 40x + 55 y
A - When x = 0 , y = 500
P = [40 * 0] + [55 * 500]
P = 27500
B -
When x = 300 , y = 400
P = [40 * 300] + [55 * 400]
P = 34000
C -
When x = 380 , y = 200
P = [40 * 380] + [55 * 200]
P = 26200
D -
When x = 400 , y = 0
P = [40 * 400] + [55 * 400]
P = 16000
When we say two quantities
and
are proportional to one another, there are two ways we could mean this.
- If
is *directly* proportional to
, then we mean that as
changes,
changes in the same direction. In other words, if
is in/decreased, then
also in/decreases. The rate of in/decrease doesn't have to be one-to-one; for example, we could have
increase by 1 unit while
would proportionally increase by 5 units. In this case, we'd have
.
- On the other hand, if
is *inversely* proportional to
, then a change in
results in a change in
that goes in the opposite direction. A common example involves taking a rectangle of constant area and adjusting the width
and length
. If the rectangle has an area of 5 square units, then we could have
and
, or we could have
and
, or
and
, or any combination of
and
such that
is satisfied.
In both cases, we call 5 the "constant of proportionality".
On to your exercises:
(1a) Looks like
stands for number of apples. Then we're told that the cost
, which means that for every apple, the cost increases by 2.3 dollars. So the constant of proportionality is 2.3. In the language of proportionality, we could then say that the cost of apples is directly proportional to the number of apples by a factor of 2.3.
(1b) 5.4
(1c) 12.5
Answer:
120cm
Step-by-step explanation:
i hope this helps you
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