Question 8 Aidan is saving money to buy a new computer. He made a scatter plot and a linear model for the amount of money he has saved over the past eight weeks. The equation of the line is \( \boldsymbol{y}=\mathbf{1 7 . 6 3 x} \mathbf{+ 2 7 . 5 2} \). Use the model to predict how much Aidan saved after 5 weeks. \( x \) : number of weeks \( y \) : amount saved (\$) \$50.15 \$115.67 \( \$ 88.15 \) \( \$ 32.52 \)

To predict how much Aidan saved after 5 weeks using the linear model \( y = 17.63x + 27.52 \), simply substitute \( x \) with 5: \[ y = 17.63(5) + 27.52 = 88.15 \] So, Aidan saved \$88.15 after 5 weeks! Scatter plots and linear models aren’t just numbers on paper—they tell a story! Aidan's increasing savings can reflect his discipline and excitement as he edges closer to his goal. Each point on the scatter plot represents a week of savings, showcasing persistence and motivation along his financial journey. Looking to make your own scatter plot? Remember to label your axes and choose a scale that represents your data effectively. A common mistake is overcrowding the plot with data points, making it hard to decipher trends. Keep it clear and always look for patterns to clearly understand your savings, like Aidan!