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

Answer:

$Blue = \frac{8}{9}$

Step-by-step 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

$Blue = 8 * \frac{1}{9}$

$Blue = \frac{8}{9}$

Hence, the blue section has an area of $\frac{8}{9}ft^2$