anonymous
  • anonymous
y varies directly with x, and y = 2 when x = 5. What is the value of x when y = 15?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
y varies directly with x so this means y = kx where k is some fixed number
jim_thompson5910
  • jim_thompson5910
we are told that y = 2 when x = 5 so y = kx 2 = k*5 solve for k

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anonymous
  • anonymous
so 6?
jim_thompson5910
  • jim_thompson5910
when you solved for k, what did you get
anonymous
  • anonymous
wait how do i solve for k
jim_thompson5910
  • jim_thompson5910
2 = k*5 divide both sides by 5 to isolate k
jim_thompson5910
  • jim_thompson5910
k = ???
anonymous
  • anonymous
2.5?
jim_thompson5910
  • jim_thompson5910
you divided in the wrong order
anonymous
  • anonymous
0.4?
jim_thompson5910
  • jim_thompson5910
good, so y = kx turns into y = 0.4x
jim_thompson5910
  • jim_thompson5910
now you want to find x when y = 15, so y = 0.4x 15 = 0.4x now solve for x
anonymous
  • anonymous
37.5?
jim_thompson5910
  • jim_thompson5910
you nailed it you can also represent 37.5 as the fraction 75/2
jim_thompson5910
  • jim_thompson5910
so x = 37.5 or x = 75/2
anonymous
  • anonymous
ok thank you(:
jim_thompson5910
  • jim_thompson5910
you're welcome

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