Final answer:
After calculating the area of both the triangular (3.9 sq ft) and circular (7.07 sq ft) signs and multiplying each by the cost per square foot ($17.64), the total cost is approximately $193.47. So, the closest answer is option b. $193.42.
Step-by-step explanation:
To determine the total cost to make one triangular street sign and one circular street sign, we first need to calculate the area of each sign and then multiply each by the cost per square foot.
The area of a triangle is given by the formula Area = (base × height) / 2. Using the base of 3 feet and height of 2.6 feet, the area of the triangular sign is:
Area of triangle = (3 × 2.6) / 2 = 7.8 / 2 = 3.9 square feet
The area of a circle is calculated using the formula Area = π × radius². With a radius of 1.5 feet, the area of the circular sign is:
Area of circle = π × (1.5)² = π × 2.25 ≈ 7.07 square feet
Now, we multiply the area of each sign by the cost per square foot to get the total costs:
Total cost for triangular sign = 3.9 × $17.64 ≈ $68.80
Total cost for circular sign = 7.07 × $17.64 ≈ $124.67
The total cost to make the two signs is the sum of the individual costs, which is approximately $68.80 + $124.67 = $193.47.
Therefore, the closest answer to the given options is b. $193.42.