The variable z is directly proportional to x. When x is 20, z has the value 300. What is the value of z when x = 26?

Question

Please explain steps! I do not understand this that well, i just need a little extra help!!

Answer 1

Hi!

We are told that the variable z is directly proportional to x. When x is 20, z has the value of 300. Let's set this up as a fraction.

Step 1: Set up your equation

x1/z1 = x2/z2

Step 2: Plug in values

20/300 = 26/z2

Step 3: Solve for z2

20z2 = 300 * 26

z2 = (300 * 26)/20

z2 = 7800/20 = 390

The value of z is 390 when x = 26.