Write an equation for the following statements
1. The fare F of a passenger varies directly as the distance d of his destination
2. The cost C of fish varies directly as its weight w in kilograms
3. An employee’s salary S varies directly as the number of days d he has worked.
4. The area A of a square varies directly as the square of its side s.
5. The distance D travelled by a car varies directly as its speed s.
6. The length L of a person’s shadow at a given time varies directly as the height h of the person.
7. The cost of electricity C varies directly as the number of kilowatt-hour consumption L.
8. The volume V of a cylinder varies directly as its height h.
9. The weight W of an object is directly proportional to its mass m.
10. The area A of a triangle is proportional to its height h.
Answers & Comments
Write an equation for the following statements
where k = constant of variation
1. The fare F of a passenger varies directly as the distance d of his destination
F = kd
2. The cost C of fish varies directly as its weight w in kilograms
C = kw
3. An employee’s salary S varies directly as the number of days d he has worked.
S = kd
4. The area A of a square varies directly as the square of its side s.
A = ks²
5. The distance D travelled by a car varies directly as its speed s.
D = ks
6. The length L of a person’s shadow at a given time varies directly as the height h of the person.
L = kh
7. The cost of electricity C varies directly as the number of kilowatt-hour consumption L.
C = kL
8. The volume V of a cylinder varies directly as its height h.
V = kh
9. The weight W of an object is directly proportional to its mass m.
W = km
10. The area A of a triangle is proportional to its height h.
A = kh
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