The variable z is directly proportional to x, and inversely proportional to y. When x is 14 and y is 10, z has the value 26.6.

What is the value of z when x = 24, and y = 15

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in one variable will cause a corresponding increase in the other variable.

If two variables are inversely proportional, it means that an increase in one variable will cause a corresponding decrease in the other variable.

The variable z is directly proportional to x, and inversely proportional to y. If we introduce a constant k, the equation would be

z = kx/y

When x is 14 and y is 10, z has the value 26.6. It means that

26.6 = 14k/10

Cross multiplying, it becomes

26.6 * 10 = 14k

266 = 14k

k = 266/14

k = 19

The equation becomes

z = 19x/y

When x = 24, and y = 15, the value of z would be

z = 19 * 24/15

z = 30.4