Select the correct answer. A florist gathered data about the weekly number of flower deliveries he made to homes and to businesses for several weeks. He used a graphing t to organize the data in a scatter plot, with \( x \) representing the number of home deliveries and \( y \) representing the number of deliveries to businesses Then he used the graphing tool to find the equation of the line of best fit: 3ased on the line of best fit, approximately how many deliveries are predicted to be made to homes during a week with 50 deliveries to businesse A. 29 B. 81 C. 87 D. 93

We are given the following situation. In the scatter plot the horizontal axis measures the number of home deliveries (\(x\)) and the vertical axis measures the number of business deliveries (\(y\)). The graphing tool found the line of best fit which has an equation of the form \[ y = -0.58x + 103.09. \] Although the best‐fit line was computed with home deliveries as the independent variable (\(x\)), we wish to use it to predict the number of home deliveries when there are 50 deliveries to businesses. In other words, given \(y=50\) we wish to find the corresponding \(x\). Because the equation is \[ y = -0.58x + 103.09, \] we substitute \(y = 50\) into the equation: \[ 50 = -0.58x + 103.09. \] Step 1. Isolate the term involving \(x\) by subtracting \(103.09\) from both sides: \[ 50 - 103.09 = -0.58x. \] Step 2. Compute the left side: \[ -53.09 = -0.58x. \] Step 3. Solve for \(x\) by dividing both sides by \(-0.58\): \[ x = \frac{-53.09}{-0.58} \approx 91.53. \] Step 4. Round the result to the nearest whole number. Since \(91.53\) is closest to \(93\) among the choices, we select \(93\). Thus, based on the line of best fit, a week with 50 deliveries to businesses is predicted to have approximately \(93\) home deliveries. The correct answer is \(\boxed{93}\).