In Math / Senior High School | 2025-08-08

Growing Your SavingsScenario: You decide to put Php 1,000 into aspecial savings account that promises to grow by5% each year. This means your money increases exponentially over time.Tasks:Initial Amount: What is the initial amount of money you put into the account? (This willbe your starting value).Growth Factor: If your money grows by 5% each year, what is the decimal equivalent of5%? HoW do you calculate the amount after one year (initial amount +5% of initialamount)? This will help you find the "growth factor."2Formulate the Function: Write an exponential function, A(t), that represents the totalamount of money in your account after t years.Calculate Future Value: Using your function, calculate how much money you will have inthe account after:1 year5 years○10 yearsSGraph the Growth:Create a simple table showing the amount in your account for years 0, 1, 5, and10.On a piece of graph paper or using a graphing tool, plot these points and sketchthe curve of your savings growth,◦ Label your axes: "Time (Years)" on the horizontal axis and "Amount in Account(Php)" on the vertical axis.What does the point where your graph starts (at Time = 0) represent?Deliverables:Your formulated exponential function.The calculations for future values/reach.A table of values.A clearly labeled graph with the initial point indicated.A brief explanation of what the starting point of your graph means in each scenario​

Asked by adingamer75