anonymous
  • anonymous
FAN AND MEDAL! What is an approximate average rate of change of the graph from x = 3 to x = 5 for f(x)=-13.333(x - 3)^2+120 ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@ganeshie8 @geny55 @LifeIsADangerousGame @KAKES1967 @JoannaBlackwelder @Michele_Laino @Nnesha @Bookworm14 @vera_ewing @cj49 @Xaze @zepdrix @JoannaBlackwelder @Hero @ganeshie8 @fratdog123 @DullJackel09 @sourwing @abb0t @Shalante
anonymous
  • anonymous
\[\frac{ f(5)-f(3) }{ 5-3 }\]
anonymous
  • anonymous
f(x)=-13.333(x - 3)^2+120 is the equation f(5)=-13.333(x - 5)^2+120 f(5)=-13.333x^2-333.33 @Shalante is this right so far?

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anonymous
  • anonymous
Nope, no need to change the (x-3)
anonymous
  • anonymous
f(x)=-13.333(x - 5)^2+120 is the equation f(5)=-13.333(x - 5)^2+120 f(5)=-13.333x^2-333.33+120 f(5)=-13.333x^2-213.33
anonymous
  • anonymous
Do not change anything besides the x Plug in x=5 and x=3 Subtract f(5)-f(3) Divide it by 2 since that is the interval difference.
anonymous
  • anonymous
so how would i solve it? i need to show the steps
anonymous
  • anonymous
f(x)=-13.333(5 - 3)^2+120 is the equation f(5)=-13.333(2)^2+120 f(5)=-13.333(4)+120 ?
anonymous
  • anonymous
f(5)=-13.333(4)+120 f(5)=-53.33+120 f(5)=66.67 ??
anonymous
  • anonymous
replace x with 5 to get answer #1 replace x with 3 to get answer #2 (answer #1 - answer #2) / 2
anonymous
  • anonymous
@Shalante did i solve it for x=5 correctly tho?
anonymous
  • anonymous
yea f(5) is correct.
anonymous
  • anonymous
ok and then f(x)=-13.333(x - 3)^2+120 f(3)=-13.333(3 - 3)^2+120 f(3)=-13.333(0)+120 f(3)=120 ?
anonymous
  • anonymous
Yes. now subtract it and then divide by 2
anonymous
  • anonymous
66.67-120/2 -53.33/2 -26.67
anonymous
  • anonymous
is that right?
anonymous
  • anonymous
Yes, that is correct.
anonymous
  • anonymous
ok thanks!
anonymous
  • anonymous
what does this rate represent in this situation? The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, being sold by the company:
anonymous
  • anonymous
-26.67 means the slope is decreasing at an average of 26.67 from x=3 to x=5
anonymous
  • anonymous
the rate of the profit they are getting. rate is change of y. y is f(x) f(x) is the profit.
anonymous
  • anonymous
so their profit is decreasing by 66.67?
anonymous
  • anonymous
You mean decreasing by 26.67?
anonymous
  • anonymous
oh yea lol
anonymous
  • anonymous
Yes, from 3 shirts sold to 5 shirts, the profit decreased by an average of $26.67.
anonymous
  • anonymous
ok thanks gtg!!
anonymous
  • anonymous
No problem!

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