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Task Analyzing different representations of the same type of function and comparing values can be an important component of a decision-making process Directions for Students Stacia has some money that she does not plan on using for a long time. She deposits the money into an account that cams interest compounded continuously She will make no additional deposits to the account nor will she withdraw any amount from the account. This graph shows the value of Stacia's account in dollars, St, as a function of time in years after the deposit is made Stacia's Account Value of Account (dollars) 2000 1750 1500 1250 1000 750 500 (20, 1053.71) 15,816.54) 250 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 Time (years) At the same time Stacia makes her deposit, Marvin deposits some money into an account that carns interest compounded 4 times a year. He also will make no additional deposits to the account nor will be withdraw any amount from the account. The table below shows the value of Marvin's account in dollars. Mt), as a function of time in years, t, after the deposit is made Marvin's Account Time (years) Value of Account (dollars) 1013.06 2 3 1026,30 1039.70 4 1053.29 Questions Compare the graphs of and Main the context of the problem your comparison.consider the following features of the account the initial deposit amounts bi the respective annual interest rates that are compounding continuously and times a year Compare the values of the woccounts over time in yeas. Be specific values and numbers of Provide evidence to supportowe Compare the graphs of SC and Moo in the context of the problem. In your comparison, consider the following features of the accounts the initial deposit amounts the respective annual interest rates that are compounding continuously and 4 times a year 3 of 3 2. Compare the values of the two accounts over time in years. Be specific in the values and numbers of years. Provide evidence to support your answer SOLVE Process S: State the situation in the problem. What is the problem all about? What is it asking you? O: Organized the facts or the information that will help you solve the problem. L: Line up a plan to solve the problem. V: Verify your plan with actions: E: Examine and Interpret your results. Does your result/answer make sense? Task Analyzing different representations of the same type of function and comparing values can be an important component of a decision-making process Directions for Students Stacia has some money that she does not plan on using for a long time. She deposits the money into an account that cams interest compounded continuously She will make no additional deposits to the account nor will she withdraw any amount from the account. This graph shows the value of Stacia's account in dollars, St, as a function of time in years after the deposit is made Stacia's Account Value of Account (dollars) 2000 1750 1500 1250 1000 750 500 (20, 1053.71) 15,816.54) 250 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 Time (years) At the same time Stacia makes her deposit, Marvin deposits some money into an account that carns interest compounded 4 times a year. He also will make no additional deposits to the account nor will be withdraw any amount from the account. The table below shows the value of Marvin's account in dollars. Mt), as a function of time in years, t, after the deposit is made Marvin's Account Time (years) Value of Account (dollars) 1013.06 2 3 1026,30 1039.70 4 1053.29 Questions Compare the graphs of and Main the context of the problem your comparison.consider the following features of the account the initial deposit amounts bi the respective annual interest rates that are compounding continuously and times a year Compare the values of the woccounts over time in yeas. Be specific values and numbers of Provide evidence to supportowe Compare the graphs of SC and Moo in the context of the problem. In your comparison, consider the following features of the accounts the initial deposit amounts the respective annual interest rates that are compounding continuously and 4 times a year 3 of 3 2. Compare the values of the two accounts over time in years. Be specific in the values and numbers of years. Provide evidence to support your answer SOLVE Process S: State the situation in the problem. What is the problem all about? What is it asking you? O: Organized the facts or the information that will help you solve the problem. L: Line up a plan to solve the problem. V: Verify your plan with actions: E: Examine and Interpret your results. Does your result/answer make sense