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A certain 4 inch spring stretches 1.5 in...

A certain 4 inch spring stretches 1.5 inches for each ounce of weight attached to it.

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To solve the problem, we need to determine the final length of the spring when a certain weight is attached to it. We know the following: 1. The initial length of the spring is 4 inches. 2. The spring stretches 1.5 inches for each ounce of weight attached to it. Let's denote the weight attached to the spring in ounces as \( x \). ### Step-by-Step Solution: **Step 1: Identify the stretch of the spring based on the weight.** - The stretch of the spring for \( x \) ounces of weight is given by the formula: \[ \text{Stretch} = 1.5 \times x \] **Step 2: Calculate the final length of the spring.** - The final length of the spring can be calculated by adding the initial length of the spring to the stretch caused by the weight: \[ \text{Final Length} = \text{Initial Length} + \text{Stretch} \] - Substituting the values we have: \[ \text{Final Length} = 4 + (1.5 \times x) \] **Step 3: Write the final expression for the length of the spring.** - Therefore, the final length of the spring as a function of the weight \( x \) is: \[ \text{Final Length} = 4 + 1.5x \] ### Final Expression: The final length of the spring when \( x \) ounces of weight is attached is given by: \[ \text{Final Length} = 4 + 1.5x \]
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ENGLISH SAT-PROBLEM SOLVING AND DATA ANALYSIS-Grib-In
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