Question

Find y when x=77, if y varies inversly as x, and y = 23 when x = 115.

Answer 1

The required value of y is 2645 / 77 when x = 77.

Step-by-step explanation:

1. Let's check the information given to answer:

if y varies inversely as x, and y = 23 when x = 115. Find y when x=77

2. What is y when x = 77?

As the statement "y varies inversely as x" translates into y = k/x

If we let y = 23 and x = 115, the constant of variation becomes

        23 = k ÷ 115

        k = 23 × 115

        k = 2645

Thus the specification equation is y = 2645  ÷ x . Now, letting x = 77, we obtain

          y = 2645 ÷ x

          y = 2645 ÷ 77

So, The required value of y = 2645 / 77 when x = 77

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