Question

Assume that y varies inversely with x. If y = 4.3 when x = 12.9, find y when x = 15.8. Round decimals to the nearest hundredth.

a) 3.52
b) 3.01
c) 2.75
d) 2.86

Answer 1

To find the value of y when x = 15.8 in an inverse variation, we can use the equation y = k/x. First, find the constant of variation by plugging in the initial values. Then, substitute the values into the equation to find the result.

Step-by-step explanation:

To find the value of y when x = 15.8, we can use the inverse variation equation y = k/x, where k is the constant of variation. First, we need to find the value of k using the initial values of y = 4.3 and x = 12.9. Plugging these values into the equation, we get 4.3 = k/12.9. Solving for k, we find that k = 55.47. Now we can use this value of k to find y when x = 15.8. Substituting these values into the equation, we get y = 55.47/15.8 = 3.51. Rounding this to the nearest hundredth gives us the answer as 3.52. Therefore, option (a) 3.52 is the correct answer.