The variable is Z is inversely proportional to X. When X is 6, Z has the value 0.5. What is the value of Z when X = 10

Question

Cherish Webb

Mathematics

3 April, 09:00

The variable is Z is inversely proportional to X. When X is 6, Z has the value 0.5. What is the value of Z when X = 10

+5

Answers (1)

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Lillian · Answer 1

Given that z is inversely proportional to x, then:

zα1/x

hence;

z=k/x

where k is the constant of proportionality;

this implies that:

k=xz

when x=6, z=0.5

thus;

k=0.5*6

k=3

hence;

z=3/x

when x=10,

z=3/10

the answer is 3/10