Write equations for each post (fill in the blanks) Student Amber Ben Carter Initial Post Rate of Growth 300% or 3.0 Equation f(x) = 3(1.00 + 3.00)* f(x) = 3(4)* Using the information from the table above answer the following (use the ^ symbol for exponents): 1. Write an exponential function to represent the spread of Ben's social media post. 2. Write an exponential function to represent the spread of Carter's social media post. 3. Graph each function using at least 3 points for each line. All graphs should be placed together on the same coordinate plane, so be sure to label each line. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology. Paste your graph below:

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.