Strengths and Limitations of Models
Interactive practice questions
Every week, Rochelle deposits $\$800$$800 into a savings account. She plots her accumulated savings over several weeks.
Would a linear model accurately describe Rochelle’s savings after the first week? Choose the most appropriate response.
No, Rochelle's savings will not change over time.
Yes, the difference in the balance from week to week increases at a linear rate.
Yes, the accumulated savings will approach a constant amount after many weeks.
Yes, for every week that passes, Rochelle's savings will increase by a constant amount.
A soccer ball is kicked at $20$20 m/s at a $50$50 degree angle. The height of the ball throughout the first second is plotted below.
Mario cooks a pot of soup and measures the temperature as it cools down. The scatter plot below shows the temperature of the soup, $y$y, in degrees Celsius, measured at every minute, $x$x.
A large bucket has a very small leak near its base. The volume of water in the bucket, measured in cubic feet, is recorded once a minute and the results are plotted below.