Question

3. The variable z varies jointly with x and y. Use the given values to write
an equation relating x, y and z. Then find z when x = 4.
a. x = ⅜, y = 16/17, z = 3/2
b. x = ⅚, y = 3/10, z = 8

Answer 1

Step-by-step explanation:

The variable z varies jointly with x and y. Use the given values to write

an equation relating x, y and z.

• z=kxy, k is coefficient

Find z when x = 4

• z=4ky

a. x = ⅜, y = 16/17, z = 3/2

• 3/2=k*3/8*16/7
• 3/2=k*6/7
• k=6*2/3*7
• k=4/7

b. x = ⅚, y = 3/10, z = 8

• 8=k*5/6*3/10
• 8=k*1/2
• k=8*2
• k=16