Question

The cost C (in dollars ) of making a square window with a side length of n inches is represented by C=(n²)/(5)+175. A window costs $355. What is the side length of the window?

Answer 1

To find the side length of the window that costs $355, use the provided cost equation C = (n²) / 5 + 175 and solve for n, where C is the cost and n is the side length in inches. After calculation, the side length of the square window is determined to be 30 inches.

Step-by-step explanation:

To find the side length of the window that costs $355, we can use the given cost equation C = (n²) / 5 + 175, where C stands for the cost in dollars and n is the length of a side in inches. We were given that C equals $355, so we plug this value into the equation and solve for n:

• 355 = (n²) / 5 + 175
• 355 - 175 = (n²) / 5
• 180 = (n²) / 5
• 180 * 5 = n²
• 900 = n²
• n = √900
• n = 30 inches

The side length of the square window is 30 inches.