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Katieann16

  • 3 years ago

y varies directly with x, and y = 2 when x = 5. What is the value of x when y = 15?

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  1. Katieann16
    • 3 years ago
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    @jim_thompson5910

  2. jim_thompson5910
    • 3 years ago
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    y varies directly with x so this means y = kx where k is some fixed number

  3. jim_thompson5910
    • 3 years ago
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    we are told that y = 2 when x = 5 so y = kx 2 = k*5 solve for k

  4. Katieann16
    • 3 years ago
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    so 6?

  5. jim_thompson5910
    • 3 years ago
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    when you solved for k, what did you get

  6. Katieann16
    • 3 years ago
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    wait how do i solve for k

  7. jim_thompson5910
    • 3 years ago
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    2 = k*5 divide both sides by 5 to isolate k

  8. jim_thompson5910
    • 3 years ago
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    k = ???

  9. Katieann16
    • 3 years ago
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    2.5?

  10. jim_thompson5910
    • 3 years ago
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    you divided in the wrong order

  11. Katieann16
    • 3 years ago
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    0.4?

  12. jim_thompson5910
    • 3 years ago
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    good, so y = kx turns into y = 0.4x

  13. jim_thompson5910
    • 3 years ago
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    now you want to find x when y = 15, so y = 0.4x 15 = 0.4x now solve for x

  14. Katieann16
    • 3 years ago
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    37.5?

  15. jim_thompson5910
    • 3 years ago
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    you nailed it you can also represent 37.5 as the fraction 75/2

  16. jim_thompson5910
    • 3 years ago
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    so x = 37.5 or x = 75/2

  17. Katieann16
    • 3 years ago
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    ok thank you(:

  18. jim_thompson5910
    • 3 years ago
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    you're welcome

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