A phone company has a monthly cellular data plan where a customer pays a flat monthly fee and then a certain amount of money per megabyte (MB) of data used on the phone. If a customer uses 10 MB, the monthly cost will be $18.50. If the customer uses 130 MB, the monthly cost will be $24.50. Find a linear equation for the monthly cost of the data plan, C, as a function of x, the number of MB used. C(x) Use your equation to find the total monthly cost if 285 MB are used.

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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.