Solve the system y = 2x – 4 and y = (x – 1)2 – 5
1 answer:
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The new width of the window should be 36.75 inches ⇒ 2nd answer
Step-by-step explanation:
The proportionally is two quantities having a constant ratio
The quantities y and x are proportional if:
= k, where k is the constant of proportionality
- y = k x
∵ Manny wants to proportionally enlarge a rectangular window
- That means the new dimensions are proportion with the
original dimensions
∴ New dimensions = k × original dimensions
- k is the constant of proportionally
∵ The original length = 36 inches
∵ The new length = 54 inches
- Substitute then in the equation above to find k
∵ 54 = k × 36
- divide both sides by 36
∴ 1.5 = k
∴ The new dimensions = 1.5 × original dimensions
∵ the original width = 24.5 inches
∴ The new width = 1.5 × 24.5 = 36.75 inches
The new width of the window should be 36.75 inches
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