Question

elijah is saving up for a new pair of sneakers. he tracks how much money he has in his savings account at the end of each week and plots the data on a scatterplot to see how his savings are growing over time.plot the data on a coordinate grid. then draw a line of best fit to model the trend. use your graph to answer the questions below.short response questions (5 questions)question 1what does your line of best fit show about how elijahs savings change each week?

Explanation:

A line of best fit in a scatter - plot shows the general trend of the data. In this case, since the data is about savings over weeks, a positive - sloped line of best fit (which is likely as savings are generally increasing over time, despite some fluctuations) would indicate that Elijah's savings are growing each week. The slope of the line of best fit represents the average rate of change of his savings per week. For example, if the line of best fit has a slope of \(m\), it means that, on average, Elijah's savings increase by \(m\) dollars each week.

Answer:

The line of best fit shows the general trend of Elijah's savings growth. If the line has a positive slope, it means that, on average, Elijah's savings are increasing each week. The value of the slope would give the approximate amount by which his savings grow per week.