(1) File | C/Users/Admin/Deshtop/IAS\%2OFILES/FOURTH\%20QUARTER\%20LESSONS\%20SY24-25/Week\%20\%20(2)/Q4_LE_Mathem. 5. A cleaning service charges a fixed fee of PHP 1500 for a one-time cleaning d Problem session, plus PHP 200 per hour for additional cleaning time. If the cleaning session lasts for 4 hours, what will the total cost be? 7. A taxi company charges PHP 50 as a base fare for a ride, plus PHP 10 for every kilometer traveled. If the ride covers a distance of 8 kilometers, what will be the total fare? 8. A fitness trainer charges PHP 300 per session for personal training sessions, plus an additional PHP 50 for the use of equipment. What will be the total cost if a client schedules 3 sessions and uses equipment for 2 of them? 9. A movie theater charges PHP 200 for a movie ticket and an additional PHP 50 for a large popcorn. What will be the total cost if a person buys 2 tickets and 1 large popcorn? 10. A music streaming service charges a monthly subscription fee of PHP 150 and an additional PHP 50 for a family plan upgrade. If someone subscribes to the

Let's solve each of the problems step by step. ### Problem 5: Cleaning Service Cost 1. **Fixed Fee**: PHP 1500 2. **Hourly Rate**: PHP 200 3. **Duration**: 4 hours **Total Cost Calculation**: \[ \text{Total Cost} = \text{Fixed Fee} + (\text{Hourly Rate} \times \text{Duration}) \] \[ \text{Total Cost} = 1500 + (200 \times 4) \] Calculating the hourly cost: \[ 200 \times 4 = 800 \] Now, adding the fixed fee: \[ \text{Total Cost} = 1500 + 800 = 2300 \] **Total Cost for Cleaning Service**: PHP 2300 --- ### Problem 7: Taxi Fare Calculation 1. **Base Fare**: PHP 50 2. **Cost per Kilometer**: PHP 10 3. **Distance**: 8 kilometers **Total Fare Calculation**: \[ \text{Total Fare} = \text{Base Fare} + (\text{Cost per Kilometer} \times \text{Distance}) \] \[ \text{Total Fare} = 50 + (10 \times 8) \] Calculating the distance cost: \[ 10 \times 8 = 80 \] Now, adding the base fare: \[ \text{Total Fare} = 50 + 80 = 130 \] **Total Fare for Taxi Ride**: PHP 130 --- ### Problem 8: Fitness Trainer Cost 1. **Cost per Session**: PHP 300 2. **Equipment Fee**: PHP 50 3. **Number of Sessions**: 3 4. **Sessions with Equipment**: 2 **Total Cost Calculation**: - Cost for sessions without equipment: \[ \text{Cost without Equipment} = \text{Cost per Session} \times (\text{Number of Sessions} - \text{Sessions with Equipment}) = 300 \times (3 - 2) = 300 \] - Cost for sessions with equipment: \[ \text{Cost with Equipment} = (\text{Cost per Session} + \text{Equipment Fee}) \times \text{Sessions with Equipment} = (300 + 50) \times 2 = 350 \times 2 = 700 \] - Total Cost: \[ \text{Total Cost} = \text{Cost without Equipment} + \text{Cost with Equipment} = 300 + 700 = 1000 \] **Total Cost for Fitness Training**: PHP 1000 --- ### Problem 9: Movie Theater Cost 1. **Cost per Ticket**: PHP 200 2. **Cost for Large Popcorn**: PHP 50 3. **Number of Tickets**: 2 4. **Number of Popcorns**: 1 **Total Cost Calculation**: \[ \text{Total Cost} = (\text{Cost per Ticket} \times \text{Number of Tickets}) + (\text{Cost for Large Popcorn} \times \text{Number of Popcorns}) \] \[ \text{Total Cost} = (200 \times 2) + (50 \times 1) \] Calculating the ticket cost: \[ 200 \times 2 = 400 \] Calculating the popcorn cost: \[ 50 \times 1 = 50 \] Now, adding both costs: \[ \text{Total Cost} = 400 + 50 = 450 \] **Total Cost for Movie Theater**: PHP 450 --- ### Problem 10: Music Streaming Service Cost 1. **Monthly Subscription Fee**: PHP 150 2. **Family Plan Upgrade**: PHP 50 **Total Cost Calculation**: \[ \text{Total Cost} = \text{Monthly Subscription Fee} + \text{Family Plan Upgrade} \] \[ \text{Total Cost} = 150 + 50 = 200 \] **Total Cost for Music Streaming Service**: PHP 200 --- ### Summary of Total Costs: - Cleaning Service: PHP 2300 - Taxi Fare: PHP 130 - Fitness Training: PHP 1000 - Movie Theater: PHP 450 - Music Streaming Service: PHP 200