Chapter 4.1, Problem 91E

Food versus Education 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.

$y=\frac{18.8}{x^{1.05}}\text{ percentage points }\left(0.69\le x\le 2.42\right)$

According to the model, spending on food is decreasing at a rate of $\_\_\_\_\_$ percentage points per 1 percentage point increase in spending on education when 2.0% of total consumption is spent on education. (Your answer should be rounded to two significant digits.) [HINT: See Example 2(b).]