z is jointly proportional to x and y?. If z = 51 when x = 3 and y = 7, find z when x = 5 and y = 6. (Round off your answer to the nearest hundredth.)
To solve this problem, we can set up a proportion using the given information.
Since z is jointly proportional to x and y, we can write the equation: z = kxy, where k is the constant of proportionality.
To find the value of k, we can use the first set of data: z = 51, x = 3, and y = 7.
51 = k * 3 * 7
51 = 21k
k = 51/21
k = 2.43 (rounded to the nearest hundredth)
Now we can use this value of k to find z when x = 5 and y = 6:
z = 2.43 * 5 * 6
z = 72.9 (rounded to the nearest hundredth)
Therefore, when x = 5 and y = 6, z is approximately 72.9.