KJ4UTS
  • KJ4UTS
Below is a table of value for the diameter D of a motor pulley (in inches) and the corresponding fan speed S (in revolutions per minute) Find a formula expressing S as a linear function of D and then use the formula to find the fan speed if a pulley having a diameter of 4.5 inches is used.
Mathematics
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SOLVED
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katieb
  • katieb
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KJ4UTS
  • KJ4UTS
KJ4UTS
  • KJ4UTS
3,400-1,020/10-3=340 and I am assuming looking at the choices that the RPM is 1,530 im not sure how to get that so that eliminates choices D. and E. I am not sure what order the formula is supposed to be represented.
anonymous
  • anonymous
The diameter for d is <===================3 Thank You! <3

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KJ4UTS
  • KJ4UTS
Would that make the answer A. then?
KJ4UTS
  • KJ4UTS
S(D) = 340D and 1530 RPM
KJ4UTS
  • KJ4UTS
@peachpi
anonymous
  • anonymous
nO ITS D
KJ4UTS
  • KJ4UTS
Ok but how do I solve it?
anonymous
  • anonymous
S as a function of D means S is the dependent variable (usually y) and D is independent (usually x) S(D) = mD + b where m = slope and b = y-intercept you solved m = 340. Plug in one of the points 3400 = 340(10) + b b = 0 \(S(D) = 340D\) is the function, so you're correct for the first question. For the second, plug in 4.5 for the diameter \(S(4.5) = 340(4.5) = 1,530 ~rpm\)
KJ4UTS
  • KJ4UTS
@peachpi thank you :)
KJ4UTS
  • KJ4UTS
So then that makes A. S(D) = 340D and 1530 RPM the answer then?
anonymous
  • anonymous
yes
KJ4UTS
  • KJ4UTS
Thanks again :)
anonymous
  • anonymous
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