The height, in meters, of a coin dropped from a tall building is modeled by the equation d(t) = 4.9t2 where d equals the distance traveled at time t seconds and t equals the time in seconds. what does the average rate of change of d(t) from t = 3 to t = 6 represent? the coin travels an average distance of 44.1 meters from 3 seconds to 6 seconds. the coin falls down with an average speed of 14.7 meters per second from 3 seconds to 6 seconds. the coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds. the coin travels an average distance of 14.7 meters from 3 seconds to 6 seconds.

Average rate of change from t = 3 to t = 6 is (d(6) - d(3) )/(6 - 3) = (4.9(6)^2 - 4.9(3)^2)/3 = (4.9(36) - 4.9(9))/3 = (176.4 - 44.1)/3 = 132.3/3 = 44.1

Therefore, the coin travels an average distance of 44.1 meters from 3 seconds to 6 seconds.

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages

i suppose it should be (y=2x-5)

step-by-step explanation: