Inverse Variation: y=(k)/(x) Use y=4 and x=6 to find k, then find y when x=5 A y=2.6 B. y=7 C. y=4.8 D. y=3.2

To solve this problem, we need to find the value of k using the given values of y and x, and then use that value to find the value of y when x is 5.<br /><br />Given:<br />$y = \frac{k}{x}$<br />$y = 4$<br />$x = 6$<br /><br />Step 1: Substitute the given values into the equation to find k.<br />$4 = \frac{k}{6}$<br />$k = 4 \times 6$<br />$k = 24$<br /><br />Step 2: Use the value of k to find y when x is 5.<br />$y = \frac{24}{5}$<br />$y = 4.8$<br /><br />Therefore, the correct answer is C. $y = 4.8$.