Question

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 ?

Answer 1

@ganeshie8 @geny55 @LifeIsADangerousGame @KAKES1967 @JoannaBlackwelder @Michele_Laino @Nnesha @Bookworm14 @vera_ewing @cj49 @Xaze @zepdrix @JoannaBlackwelder @Hero @ganeshie8 @fratdog123 @DullJackel09 @sourwing @abb0t @Shalante

Answer 2

\[\frac{ f(5)-f(3) }{ 5-3 }\]

Answer 3

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?

Answer 4

Nope, no need to change the (x-3)

Answer 5

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

Answer 6

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.

Answer 7

so how would i solve it? i need to show the steps

Answer 8

f(x)=-13.333(5 - 3)^2+120 is the equation
f(5)=-13.333(2)^2+120
f(5)=-13.333(4)+120 ?

Answer 9

f(5)=-13.333(4)+120
f(5)=-53.33+120
f(5)=66.67 ??

Answer 10

replace x with 5 to get answer #1
replace x with 3 to get answer #2
(answer #1 - answer #2) / 2

Answer 11

@Shalante did i solve it for x=5 correctly tho?

Answer 12

yea f(5) is correct.

Answer 13

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 ?

Answer 14

Yes. now subtract it and then divide by 2

Answer 15

66.67-120/2
-53.33/2
-26.67

Answer 16

is that right?

Answer 17

Yes, that is correct.

Answer 18

ok thanks!

Answer 19

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:

Answer 20

-26.67 means the slope is decreasing at an average of 26.67 from x=3 to x=5

Answer 21

the rate of the profit they are getting.
rate is change of y.
y is f(x)
f(x) is the profit.

Answer 22

so their profit is decreasing by 66.67?

Answer 23

You mean decreasing by 26.67?

Answer 24

oh yea lol

Answer 25

Yes, from 3 shirts sold to 5 shirts, the profit decreased by an average of $26.67.

Answer 26

ok thanks gtg!!

Answer 27

No problem!