Step 1 :Convert the dimensions of the slab to yards: \( 15\text{ ft} \times 15\text{ ft} \times \frac{2}{12}\text{ ft} = 15\text{ yd} \times 15\text{ yd} \times \frac{1}{6}\text{ yd} \)
Step 2 :Calculate the volume of the slab in cubic yards: \( 15\text{ yd} \times 15\text{ yd} \times \frac{1}{6}\text{ yd} = 37.5\text{ yd}^3 \)
Step 3 :Calculate the cost of the concrete: \( 37.5\text{ yd}^3 \times \$51.00 = \$1912.50 \)