Write the same ratio using another form A:B vs A to B
2 answers:
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Answer:
(a) The constant of proportionality is 0.25
(b) 1 apple = $0.25
(c) $3 = 12 apples
Step-by-step explanation:
Given
Solving (a): The constant of proportionality;
For an equation:
Where
k = constant of proportionality
By comparing: to
Hence, the constant of proportionality is 0.25
Solving (b): What information does gives.
It represents the unit rate.
<em>So, it means that 1 apple costs $0.25</em>
<em></em>
Solving (c): Number of apples for $3.
This means that
Substitute 3 for c in
Make n the subject
SOH CAH TOA -> 
so.. which of those fellows do we use?
well, the triangle gives us
the angle, 15 degrees, for elevation angle
the adjacent side, 50m
and we want the opposite side, the slide
so...who has only, the angle, opposite, and adjacent sides?
well, low and behold, is Ms tangent
thus
notice, "x" in the picture, is the distance from the ground up to the top of the waterslide, using that triangle, what we're getting is just the distance, from the shorter slide, to the taller one, or x - 15
thus, the opposite side is x -15
so.. which of those fellows do we use?
well, the triangle gives us
the angle, 15 degrees, for elevation angle
the adjacent side, 50m
and we want the opposite side, the slide
so...who has only, the angle, opposite, and adjacent sides?
well, low and behold, is Ms tangent
thus
notice, "x" in the picture, is the distance from the ground up to the top of the waterslide, using that triangle, what we're getting is just the distance, from the shorter slide, to the taller one, or x - 15
thus, the opposite side is x -15