Question

a museum is putting a new sculpture on display. the sculpture is 9 feet (ft) tall.
(a) let x be the height of the sculpture in inches (in). fill in the blanks using the given values to create an equation that can be used to find x.
values: x in, 1 in, 12 in, 1 ft, 9 ft, 12 ft
$\frac{square}{square}=\frac{square}{square}$
(b) using the equation from part (a), find the height of the sculpture in inches.
$square$ inches

Explanation:

Step1: Set up conversion proportion

We use the known feet-inch conversion to create an equation for $x$ (height in inches).
$\frac{x}{9\ \text{ft}} = \frac{12\ \text{in}}{1\ \text{ft}}$

Step2: Solve for $x$

Cross-multiply to isolate $x$.
$x = 9\ \text{ft} \times \frac{12\ \text{in}}{1\ \text{ft}}$

Step3: Calculate final value

Cancel units and compute the product.
$x = 9 \times 12 = 108\ \text{inches}$

Answer:

(a) $\frac{x}{9\ \text{ft}} = \frac{12\ \text{in}}{1\ \text{ft}}$
(b) 108 inches