B. Find the constant of variation and write the equation representing the relationship between the
quantities in each of the following tables,
1. y varies directly as x
2. y varies inversely as x
1 2
4
2 4 6 8
у 10 20 30 40
24 12 8 6
y
3. z varies jointly as x and y
4. z varies directly as x and inversely as y
2
3
4
5
2
10
y
4
6
6
6
8
10
y у
4
8
14
10
28/5
z
16
36
64
100
2
4
5

Question

Answered

Sagot :

Precillacapitliviz Precillacapitliviz · Answer 1

Step-by-step explanation:

RATIO

==============================

1. 16 to 4

\implies \large \sf16 \: : \: 4⟹16:4

\implies \large \sf16 \div 4 \: : \: 4 \div 4⟹16÷4:4÷4

\implies \large \sf \orange{4 \: : \: 1}⟹4:1

\:

2. 6 to 15

\implies \large \sf6 \: : \: 15⟹6:15

\implies \large \sf6 \div 3 \: : \: 15 \div 3⟹6÷3:15÷3

\implies \large \sf \orange{2\: : \: 5}⟹2:5

\:

3. 30 : 5

\implies \large \sf30 \: : \: 5⟹30:5

\implies \large \sf30\div 5 \: : \: 5 \div 5⟹30÷5:5÷5

\implies \large \sf \orange{6\: : \: 1}⟹6:1

\:

4. 12/16

\implies \large \sf {12\: : \: 16}⟹12:16

\implies \large \sf {12 \div 4\: : \: 16 \div 4}⟹12÷4:16÷4

\implies \large \sf \orange{3\: : \: 4}⟹3:4

\:

5. 3/8

\implies \large \sf {3\: : \: 8}⟹3:8

\implies \large \sf {3 \div 1\: : \: 8 \div 1}⟹3÷1:8÷1

\implies \large \sf \orange{3\: : \: 8}⟹3:8

==============================

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