A.Directions: Express each of the following statements into a mathematical equation where k is the constant variation.
1.The weight(w) of a piece of wood varies directly as its length(l).
2.The area(a) of a square varies directly as the square of its side(s).
3.The fare(f) of a passenger varies directly as the distance(d) of his destination.
4.The area of a triangle(t) is proportional to its height.
5.The price(p) of a diamond varies directly as the square of its weight(w) in grams.
B. In each of the following, y varies directly as x. Find the values as indicated.
1.If y=24 when x=8,find y when x=12.
2.If y=-18 when x=-2,find y when x=4.
3.If y=15 when x=40,find y when x=5
4.If y =54 when x=3,find x when y=4
5.If y=30 when x=-6,find x when y=7.
Answers
bro....this question is too big
Given : y varies directly as x
To find : 1.If y=24 when x=8,find y when x=12.
2.If y=-18 when x=-2,find y when x=4.
3.If y=15 when x=40,find y when x=5
4.If y =54 when x=3,find x when y=4
5.If y=30 when x=-6,find x when y=7.
Solution:
y varies directly as x
=> y = kx
y=24 when x=8,
=> 24 = k(8)
=> k = 3
y = 3x
x = 12
y = 3(12) = 36
2.If y=-18 when x=-2,
=> y = 9x
y when x=4.
36
3.If y=15 when x=40,
=> y = 3x/8
y when x=5
15/8
y =54 when x=3
=> y = 18x
x when y=4
x = 4/18 = 2/9
y=30 when x=-6
y = -5x
x when y=7.
x = -7/5
.The weight(w) of a piece of wood varies directly as its length(l).
=> w ∝ l
The area(a) of a square varies directly as the square of its side(s).
a ∝ s²
.The fare(f) of a passenger varies directly as the distance(d) of his destination.
f ∝ d
The area of a triangle(t) is proportional to its height.
=> t ∝ h
The price(p) of a diamond varies directly as the square of its weight(w) in grams.
p ∝ w²
Learn More:
brainly.in/question/23511732
what equation has a constant of proportionality equal to dfrac{1}{2 ...
brainly.in/question/12881878
If Y is directly proportional to X and Y = 24 when X = 10, then find the ...
brainly.in/question/8160898