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taepoohwae

  • 3 years ago

the cost of driving a car includes both fixed costs and mileage costs. assume that it costs $162.10 per month for insurance and car payments and $0.26 per mile gasoline, oil, and routine maintenance. Find the values for m and b so that y=mx+b models the monthly cost of driving the car x miles. what dos the value of b represent?

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  1. kelliegirl33
    • 3 years ago
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    y = mx + b y is total cost m is 0.26 (cost per mile, gas,oil, and maintenance) x is number of miles b = 162.10 (cost per month for insurance and car payments y = 0.26x + 162.10 <===here is the equation Do you understand ?

  2. taepoohwae
    • 3 years ago
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    I'm new to this. I really don'tr know where to begin in order to solve.

  3. kelliegirl33
    • 3 years ago
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    Look at what I did and tell me what you don't understand ?

  4. taepoohwae
    • 3 years ago
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    Not sure of the steps to follow to find the answer to m or b.

  5. taepoohwae
    • 3 years ago
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    Are you saying that the answer for m is 0.26 and b is 162.10

  6. kelliegirl33
    • 3 years ago
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    The question asks for the value of mx and b. m = 0.26 with x being undefined number of miles. b = monthly cost of the car.

  7. kelliegirl33
    • 3 years ago
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    let me rephrase that....y = the total cost (gas, car payment,maintenance, etc. b is just the cost of the car payment and insurance. m is the cost per mile, gas, oil and stuff like that (.26) x being the number of miles (which is not given)

  8. taepoohwae
    • 3 years ago
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    Thanks for trying... I still don't know how to solve for m or b.

  9. kelliegirl33
    • 3 years ago
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    @Hero ...can you help me explain this ?

  10. kelliegirl33
    • 3 years ago
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    hold on taepoohwae.....Hero is better at explaining then I am. He will be here soon

  11. kelliegirl33
    • 3 years ago
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    @Hero .....help

  12. kelliegirl33
    • 3 years ago
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    @ParthKohli ....can you help me explain this ?

  13. kelliegirl33
    • 3 years ago
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    taepoohwae doesn't seem to understand ...I am not really good at explaining

  14. ParthKohli
    • 3 years ago
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    Start with ignoring the \(y = mx + b\) thingy. It's of no use. So you need \(0.26\) for one mile. Then you need \(0.26 \times \text{number of miles driven}\) throughout the month. Assume that \(m\) is the number of miles you drive, then \(0.26m\) is the money you need. You write \(y = 0.26m\) where \(y\) is the cost. STOP RIGHT THERE! You need \(162.10\) for maintenance, so it'd always be there added to the costs like a ninja. That'd make \(0.26m + 162.10\) as the total money you need

  15. kelliegirl33
    • 3 years ago
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    Oh...your good, you should be a teacher

  16. ParthKohli
    • 3 years ago
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    Actually let's just say that the number of miles is \(x\). Then you have \(y = \color{#C00}{m}x + \color{#AE9}{b}\)

  17. ParthKohli
    • 3 years ago
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    \[y = \color{#C00}{m}x + \color{#AE5}{b}\]\[y = \color{#C00}{0.26}x + \color{#AE3}{162.10}\]

  18. kelliegirl33
    • 3 years ago
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    maybe taepoohwae will understand now....thx ParthKohli

  19. taepoohwae
    • 3 years ago
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    thanks!

  20. kelliegirl33
    • 3 years ago
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    your welcome :)

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