Kyle always charges the battery of his motorized wheelchair overnight. At the end of each day he records the distance he traveled and the remaining charge on the battery. The scatter plot shows the data. The equation of the line of fit is \( y=-4.2 \pi+100 \). At the end of one day, the remaining charge on the battery was \( 58 \% \). Predict the distance Kyle traveled with the wheelchair that day. \( \square \) miles 7 8 9 \( \times \) 4 5 6 \( 6 \div \)

To find the distance Kyle traveled, we can use the equation of the line of fit: \( y = -4.2x + 100 \). Here, \( y \) represents the remaining charge on the battery, and \( x \) represents the distance traveled. We want to determine \( x \) when the remaining charge \( y \) is \( 58 \% \). Substituting \( y = 58 \) into the equation gives us: \[ 58 = -4.2x + 100 \] To solve for \( x \), we rearrange the equation: 1. Subtract 100 from both sides: \[ -4.2x = 58 - 100 \] \[ -4.2x = -42 \] 2. Divide both sides by -4.2: \[ x = \frac{-42}{-4.2} \] \[ x = 10 \] So, Kyle traveled \( 10 \) miles that day. Hey, did you know that electric wheelchairs often use more advanced lithium-ion batteries these days? They not only charge faster but also have longer lifespans. This means more adventures for people like Kyle without the worry of running out of charge quickly! And for those looking to optimize battery life: it’s a good idea to avoid letting the battery drain completely before charging. Instead, try to recharge when it's around 20-30% remaining. This habit can significantly extend your battery's overall health and performance, helping you travel those extra miles!