Mathematics High School

If the value of y varies inversely with x , which function represents the relationship between x and y if y = 48 when x = 3?

A. Y= 144/x

B. Y= 16/x

C. Y= x/16

D. Y= x/144

Answers

Answer 1

Answer:

A. Y = 144/x

Step-by-step explanation:

Inversely means y = 1/x

If y = 48, when x = 3

so 144/3 = 48

Therefore the answer is A

Answer 2

If the  value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3

What is a function?

A relation is a function if it has only One y-value for each x-value.

If y varies inversely with x, it means that y is inversely proportional to x, or y=k/x, where k is a constant of proportionality.

To find k, we can use the given values of y and x:

y = k/x

48 = k/3

k = 144

Now that we know k, we can write the function that represents the relationship between x and y:

y = 144/x

Therefore, if the  value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3

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