The following equation shows the approximate relationship between the percentage y of total personal consumption spent on food and the corresponding percentage x spent on education. y = 35/x0.35 percentage points (6.5 ≤ x ≤ 17.5) According to the model, spending on food is decreasing at a rate of _____ percentage points per one percentage point increase in spending on education when 10% of total consumption is spent on education. (Answer should be rounded to two significant digits.)

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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.