skilarcullen
contestada

The variable z is directly proportional to x, and inversely proportional to y. When x is 16 and y is 5, z has the value 16. What is the value of z when x= 21, and y= 14 Round to at least the thousandths place if needed.

Respuesta :

Answer:

z = 7.5

Step-by-step explanation:

Given that z is directly proportional to x and inversely proportional to y then the equation relating them is

z = [tex]\frac{kx}{y}[/tex] ← k is the constant of proportionality

To find k use the condition when x = 16, y = 5, z = 16, then

k = [tex]\frac{zy}{x}[/tex] = [tex]\frac{16(5)}{16}[/tex] = 5

z = [tex]\frac{5x}{y}[/tex] ← equation of proportionality

When x = 21, y = 14, then

z = [tex]\frac{5(21)}{14}[/tex] = 7.5

Otras preguntas