74 Chapter 1 Whole Numbers Operations: 1. The amount of the loan to be paid off is equal to the original cost of the car minus the down payment.We use subtraction: $18,340 2,500 $15,840 2. This money is distributed in equal payments over a 4-year period. Because there are 12 months in 1 year, there are months in a 4-year period.To distribute $15,840 among 48 equal payments, we divide. Jorge’s monthly payments will be $330. Solving a Travel Application Linda must drive from Clayton to Oakley. She can travel directly from Clayton to Oakley on a mountain road, but will only average 40 mph. On the route through Pearson, she travels on highways and can average 60 mph.Which route will take less time? Solution: Read and familiarize: A map is presented in the problem. Given: The distance for each route and the speed traveled along each route Pearson Find: Find the time required for each route.Then compare the times to determine which will take less time. Operations: 1. First note that the total distance of the route through Pearson is found by using addition. 85 mi 95 mi 180 mi 2. The speed of the vehicle gives us the distance traveled per hour.Therefore, the time of travel equals the total distance divided by the speed. From Clayton to Oakley through the mountains, we divide 120 mi by 40-mph increments to determine the number of hours. Clayton Oakley Time 120 mi 40 mph 40 mi in 1 hr 3 hr 40 mi in 1 hr 40 mi in 1 hr 120 mi Example 6 330 48 15,840 144 144 144 00 4 12 48 Answer 6. 9 hr overtime TIP: The solution to Example 5 can be checked by multiplication. Forty-eight payments of $330 each amount to 48($330) $15,840. This added to the down payment totals $18,340 as desired. Skill Practice 6. Taylor makes $18 per hour for the first 40 hr worked each week. His overtime rate is $27 per hour for hours exceeding the normal 40-hr workweek. If his total salary for one week is $963, determine the number of hours of overtime worked. 95 mi 85 mi Clayton Oakley 120 mi
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