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2 answers:
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Answer:
x=-3 y=-1
Step-by-step explanation:
Answer:
The true statements are;
Point D represents a number less than the number Point C represents
Point E represents the smallest number of all the numbers represented by points
Step-by-step explanation:
The given information are;
The number line with points are
In decimal format, with Microsoft Excel and Word, we have;
-1.375, -1.25, -1.125, -1, -0.875, -0.75, -0.625, -0.5, -0.375, -0.25, -0.125, 0, 0.125, 0.25, 0.375
We have, E = -1.25, B = -1, D = -0.875, C = -0.25, A = 0, F = 0.25
The correct options are;
Point D = -0.875 < Point C = -0.25
Point E = -1.25 which is the second number on the number line and the smallest number of the numbers represented by points
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