Final answer:
To calculate the cost, convert the board dimensions to feet, find the number of boards needed, and multiply by the cost per board.
Step-by-step explanation:
To calculate the cost of building the road, we need to find the total number of boards required and then multiply it by the cost of each board.
First, convert the dimensions of the board to feet: 4 inches = 1/3 feet and 12 inches = 1 foot.
Next, calculate the number of boards needed by dividing the length of the road by the length of the board: 1.75 miles = 9240 feet and 9240 feet / 10 feet = 924 boards.
Finally, find the cost of building the road by multiplying the number of boards by the cost per board.