Exercise 19 Page 157

We want to find the total cost of the scooter. Let's start by calculating the dollar amount of the tax. We can do this by using the percent equation. part = percent * whole We are given that the scooter costs $ 89.75 plus 7 14 % tax. Let t represent the dollar amount of the tax. t = 7 14 % * $ 89.75Before solving the equation we got, we need to write percent as decimal. Let's start by writing the mixed number as a decimal.

Next, we will write a 7.25 % as a decimal by ignoring the percent symbol and moving the decimal point two places to the left.

We got that 7 14 % is equal to 0.0725. t = 7 14 % * $ 89.75 [0.3em] ⇓ [0.3em] t = 0.0725 * $ 89.75 Finally, we will solve the equation for t. For simplicity, we will omit the dollar symbol.

We found that t≈ 6.51 is a solution to the equation. This means that the dollar amount of the tax, rounded to the nearest cent, is about $6.51. Now we can calculate the total cost of the scooter, which is the regular price of the scooter plus the tax. Total cost ≈ $ 89.75 + $ 6.51 = $ 96.26 The total cost of the scooter is about $ 96.26.