When a number is decreased by 8.5%, the result is 33. What is the original number to the nearest tenth?

Step-by-step explanation:

Let the original number be x

(100-8.5)% of x = 33

91.5% of x = 33

x= 36.1

Part a: the price of product a increasing by 25% each year. this is because                                                                                             f(x) = 72(1.25)^xis an exponential function with a base of 1.25. suppose that we have a number n. then 25% of n is 0.25n. increasing n by 25% would result in n + 0.25n. factoring out n yields n(1+0.25) = n(1.25), hence multiplying a number by 1.25 increases it by 25%.part b: for product a modeled by f(x), the percent change is 25%. for product b modeled  by f(t), the percent change can be found by                                                        84.5 / 65 = 1.3                                                        109.85 / 84.5 = 1.3                                                        142.81 / 109.85 = 1.3as we can see, the next numbers are obtained by multiplying the previous by 1.3. that means product b has a base of 1.3 and therefore is a 30% increase. the answer is that product b recorded a greater percentage change in price.