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1. A fruit vendor charges P150. 00 per kilogram of grapes plus a fixed delivery fee of P15.00. How many kilograms of grapes can be delivered for P1000.00?

1. A fruit vendor charges P150. 00 per kilogram of grapes plus a fixed delivery fee of P15.00. How many kilograms of grapes can be delivered for P1000.00?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. A fruit vendor charges P150. 00 per kilogram of grapes plus a fixed delivery fee of P15.00. How many kilograms of grapes can be delivered for P1000.00? 2. A bus travels along the national highway from station A to station B. It leaves station A at 10:00 am and travels at a constant speed of 70 miles per hour (mph). A car makes the same route, travelling 15 mph faster but leaving 10 minutes later. When does the car overtake the bus? 3. An open rectangular box is to be formed by cutting identical squares, each of side 2 in, one from each corner of a rectangular piece of cardboard, and then turning up the ends. If the area of the piece of cardboard is 216 in? and the box is to have volume 224 in³, what should have been the dimensions of the cardboard used? 4. In Puerto Galera Island, a group of tourists decides to ride in a boat. The boat owner charges a boat ride of P1000.00 for 20 passengers only. However, for additional passengers a fee of P70.00 per head. Express the function using piecewise and how much will it cost if there are 25 passengers in all? 5. An online shop delivers soap items within and outside Isabela. An initial shipping fee of P80.00 is collected for orders amounting to P500.00 or less, an extra charge of P40.00 for items with total value between P500.00 and P1000.00 and a double initial shipping for orders costing to P1000.00 and up. Write a piecewise function representing the f amount of shipping fee for x total value of orders. How much is the shipping fee if the total amount of orders are P600.00 and P1350.00?
Transcribed Image Text:1. A fruit vendor charges P150. 00 per kilogram of grapes plus a fixed delivery fee of P15.00. How many kilograms of grapes can be delivered for P1000.00? 2. A bus travels along the national highway from station A to station B. It leaves station A at 10:00 am and travels at a constant speed of 70 miles per hour (mph). A car makes the same route, travelling 15 mph faster but leaving 10 minutes later. When does the car overtake the bus? 3. An open rectangular box is to be formed by cutting identical squares, each of side 2 in, one from each corner of a rectangular piece of cardboard, and then turning up the ends. If the area of the piece of cardboard is 216 in? and the box is to have volume 224 in³, what should have been the dimensions of the cardboard used? 4. In Puerto Galera Island, a group of tourists decides to ride in a boat. The boat owner charges a boat ride of P1000.00 for 20 passengers only. However, for additional passengers a fee of P70.00 per head. Express the function using piecewise and how much will it cost if there are 25 passengers in all? 5. An online shop delivers soap items within and outside Isabela. An initial shipping fee of P80.00 is collected for orders amounting to P500.00 or less, an extra charge of P40.00 for items with total value between P500.00 and P1000.00 and a double initial shipping for orders costing to P1000.00 and up. Write a piecewise function representing the f amount of shipping fee for x total value of orders. How much is the shipping fee if the total amount of orders are P600.00 and P1350.00?
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