Question
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Write down an equation that Abel can use to calculate the total cost (in rands) per single trip, in the form: Total cost (in rands) per single trip \( =\mathrm{R} 50 \) + (number of \( \mathrm{km}-3 \mathrm{~km}) x \) R15

Ask by Willis Reyes. in South Africa
Mar 08,2025

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Answer

Total cost per trip = R50 + (km - 3) × R15

Solution

To express the total cost per single trip in the specified form, we can break down the components of the equation: 1. The base cost for the trip is R50. 2. The cost per kilometer beyond the first 3 kilometers is R15. 3. The number of kilometers traveled is represented as \( k \). The equation can be structured as follows: \[ \text{Total cost (in rands) per single trip} = 50 + (k - 3) \times 15 \] This equation indicates that the total cost starts at R50, and for every kilometer traveled beyond 3 kilometers, an additional R15 is added to the total cost.

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Mind Expander

Did you know that calculating costs per trip has historical roots in trade practices? Merchants in ancient marketplaces would often weigh goods and adjust prices based on distance traveled, similar to how Abel is figuring out his travel costs. This method not only ensured fair pricing but also helped in efficient resource management—something that’s still relevant in today’s economy! In the real world, this equation can be quite practical! For instance, if Abel travels to various locations, he can adjust the "number of km" in his formula to get an accurate total cost. This equation helps him budget wisely before embarking on his journey, making it easier to plan expenses whether it's for work, leisure, or visiting friends!

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