Question
Find the equations that describe the follo 1. A taxi charges R10 per km with a 2. A household pays R1.50 per kWh R200. 3. A company charges R5 per GB of R100. 4. A printing shop charges R2 per pa 5. A movie ticket costs R120 and you 6. A restaurant meal has a R50 base f 7. A school trip costs R80 per studen
Ask by Bernard Olson. in South Africa
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Here are the equations for each scenario:
1. **Taxi Charges**: \( C_1 = 10x + 200 \)
2. **Household Electricity**: \( C_2 = 1.5y \)
3. **Company Data**: \( C_3 = 5z + 100 \)
4. **Printing Shop**: \( C_4 = 2w \)
5. **Movie Tickets**: \( C_5 = 120v \)
6. **Restaurant Meal**: \( C_6 = 50 + 10u \)
7. **School Trip**: \( C_7 = 80t \)
Solution
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Beyond the Answer
For the taxi, the total fare can be expressed as \( T(x) = 10x + 200 \), where \( x \) is the distance in kilometers. The base fee of R200 ensures that even for short rides, passengers pay a minimum amount. For the household's electricity bill, the equation can be modeled as \( E(y) = 1.50y \), with \( y \) representing the total kilowatt-hours consumed. Simple calculations can help homeowners monitor their energy usage and explore energy-saving solutions for lower bills!
