Question

The Cheer Club is making a banner for your school using the design shown. The area of the yellow portion is 1 ft2. The expression 8z−1 represents the area in square feet of the blue material in the banner. Evaluate the expression for z=9 to find the area of the blue material. When the length z is 9 ​feet, the blue area is ft2?

Answer 1

`Blue = (8)/(9)`

Explanation:

Given

`Yellow = 1ft^2`

`Blue = 8z^{-1`

Required

Evaluate Blue when z = 9

To do this, we simply substitute 9 for z in
`Blue = 8z^{-1`

`Blue = 8 * 9^{-1`

Convert indices to fraction

`Blue = 8 * (1)/(9)`

`Blue = (8)/(9)`

Hence, the blue section has an area of
`(8)/(9)ft^2`