Question

David played a slot machine. W(t) models his winnings (in dollars, where a negative number means David is losing) as a function of time t (in hours).
When did David's winnings decrease faster?
A. Between 1 and 4.5 hours since he started playing
B. Between 4.5 and 6 hours since he started playing
C. The winnings decreased at the same rate over both intervals

Answer 1

Answer:

between 4.5 and 6 hours since he strte playing

Step-by-step explanation:

Answer 2

David's winnings decrease faster Between 4.5 and 6 hours since he started playing. so option B is correct.

What is the average rate of change?

The average Rate of Change of the function f(x) can be calculated as;

$f(x) = \dfrac{f(b) - f(a)}{b-a}$

David played a slot machine.

W(t) models his winnings (in dollars, where a negative number means David is losing) as a function of time t (in hours).

Lets calculate the average rate of change of W(t).

ARC ( 1, 4.5)

$W(t) = \dfrac{W(4.5)- W(1)}{4.5-1}\\\\W(t) = \dfrac{-70}{3.5}\\\\W(t) = -20$

ARC( 4.5, 6)

$W(t) = \dfrac{W(6)- W(4.5)}{6-4.5}\\\\W(t) = \dfrac{-51}{1.5}\\\\W(t) = -34$

Thus, the average rate of change over the interval ( 4.5, 6) is greater than the average rate of change over the interval ( 1, 4.5).

Hence, David's winnings decrease faster Between 4.5 and 6 hours since he started playing.

Learn more about average  ;

https://brainly.com/question/20784578

#SPJ2