Home > Algebra > Rational Equations Using Proportions

Number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation x=900-100p. At what price should the company sell the ribbons if it wants the weekly revenue to be $1,800? (Remember: The equation for revenue is R xp)

Answer 1

Abigail Allen

#p=3,6#

If we know that #x=900-100p# and #R=xp#, we have #x# in terms of #p# and can solve for #p#:

#R = xp# #R= (900-100p)p# #R=900p-100p^2# #1800 = 900p-100p^2# #100p^2-900p+1800=0#

Factor this equation to get values for #p#:

#p^2-9p+18=0# #(p-6)(p-3)=0# #p=3,6#

To verify:

If #p=3# #x=900-100p# #x=600#

#R=3*600=1800# So #p=3# works

If #p=6# #x=900-100p# #x=300#

#R=6*300 = 1800# So #p=6# works

Hope this helps!

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.