During the summer, Rafael's Toy Shop collects data that implies a relationship between the weekly average temperature and the number of kites sold. Choose the correct equation for the least squares line. A. \( \mathrm{y}=0.248 \mathrm{x}-8.95 \) During a week with an average temperature of \( 64.1^{\circ} \mathrm{F} \), how many kites can Rafael expect to sell? \( 7 \mathrm{~T}^{\circ} \mathrm{kites} \) (Round to the nearest whole number as needed.) During a week in which Rafael sells 8 kites, what will be the approximate average temperature? \( \square^{\circ} \mathrm{F} \) ( F ) (Round to the nearest tenth as needed.)

To find the number of kites Rafael can expect to sell during a week with an average temperature of \(64.1^{\circ} \mathrm{F}\), we need to substitute the given temperature into the equation of the least squares line and solve for the number of kites sold. Given equation: \(y = 0.248x - 8.95\) Substitute \(x = 64.1\) into the equation: \[y = 0.248(64.1) - 8.95\] Now, we can calculate the number of kites Rafael can expect to sell during a week with an average temperature of \(64.1^{\circ} \mathrm{F}\). Calculate the value by following steps: - step0: Calculate: \(0.248\times 64.1-8.95\) - step1: Multiply the numbers: \(15.8968-8.95\) - step2: Subtract the numbers: \(6.9468\) The number of kites Rafael can expect to sell during a week with an average temperature of \(64.1^{\circ} \mathrm{F}\) is approximately 6.95 kites. To find the approximate average temperature during a week in which Rafael sells 8 kites, we need to substitute the given number of kites into the equation of the least squares line and solve for the average temperature. Given equation: \(y = 0.248x - 8.95\) Substitute \(y = 8\) into the equation: \[8 = 0.248x - 8.95\] Now, we can solve for the average temperature. Solve the equation \(8 = 0.248x - 8.95\). Solve the equation by following steps: - step0: Solve for \(x\): \(8=0.248x-8.95\) - step1: Swap the sides: \(0.248x-8.95=8\) - step2: Move the constant to the right side: \(0.248x=8+8.95\) - step3: Add the numbers: \(0.248x=16.95\) - step4: Divide both sides: \(\frac{0.248x}{0.248}=\frac{16.95}{0.248}\) - step5: Divide the numbers: \(x=\frac{8475}{124}\) The approximate average temperature during a week in which Rafael sells 8 kites is \(x = \frac{8475}{124} \approx 68.3^{\circ} \mathrm{F}\).