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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?

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MrRoyal

Answer:

[tex]Blue = \frac{8}{9}[/tex]

Step-by-step explanation:

Given

[tex]Yellow = 1ft^2[/tex]

[tex]Blue = 8z^{-1[/tex]

Required

Evaluate Blue when z = 9

To do this, we simply substitute 9 for z in [tex]Blue = 8z^{-1[/tex]

[tex]Blue = 8 * 9^{-1[/tex]

Convert indices to fraction

[tex]Blue = 8 * \frac{1}{9}[/tex]

[tex]Blue = \frac{8}{9}[/tex]

Hence, the blue section has an area of [tex]\frac{8}{9}ft^2[/tex]

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