Solve the following problems. Give the mathematical model, independent variable and dependent variable. Show your solutions. 1. A car rental company charges a flat fee of Php1,980 to rent a car. In additional to that you must pay a fee day you rent it. If you keep the car for 3 days or less, it costs Php350 per day. If you keep the car longer than 3 days it only costs Php250 per day. How much does it cost to rent for 3 days? 4days? 5days? 2. An object is to travel a distance of 10 meters. Express the velocity v as a rational function v(t) of travel time t in seconds.

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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.