A store sells rope by the meter. The equation \( p=0.81 \) represents the price (in dollors) of a piece of nylon rope that is \( I \) meters long. Type the answers in the boxes below. 1. How much does the nylon rope cost per meter? 2. How long is a piece of nylon rope that costs \( \$ 1.00 \) ?

To find the cost per meter of the nylon rope, we need to determine the price per meter from the given equation \( p = 0.81I \), where \( p \) is the price in dollars and \( I \) is the length in meters. 1. To find the cost per meter, we need to divide the price by the length: \[ \text{Cost per meter} = \frac{p}{I} \] Substitute the given values into the equation: \[ \text{Cost per meter} = \frac{0.81}{1} \] 2. To find the length of a piece of nylon rope that costs $1.00, we need to solve the equation \( p = 0.81I \) for \( I \) when \( p = 1.00 \): \[ 1.00 = 0.81I \] Solve for \( I \): \[ I = \frac{1.00}{0.81} \] Now, let's calculate the cost per meter and the length of the nylon rope that costs $1.00. Calculate the value by following steps: - step0: Calculate: \(\frac{0.81}{1}\) - step1: Convert the expressions: \(\frac{\frac{81}{100}}{1}\) - step2: Divide the terms: \(\frac{81}{100}\) The cost per meter of the nylon rope is $0.81. Now, let's calculate the length of the nylon rope that costs $1.00. Calculate the value by following steps: - step0: Calculate: \(\frac{1}{0.81}\) - step1: Convert the expressions: \(\frac{1}{\frac{81}{100}}\) - step2: Multiply by the reciprocal: \(\frac{100}{81}\) 1. The cost per meter of the nylon rope is $0.81. 2. The length of a piece of nylon rope that costs $1.00 is approximately 1.23 meters.