Question

The function below shows the number of car owners f(t), in thousands, in a city in different years t:

f(t) = 0.25t2 − 0.5t + 3.5

The average rate of change of f(t) from t = 2 to t = 6 is ______ thousand owners per year.

Answer for Blank 1:

Answer 1

\[\text{average rate of change} = \frac{ f(b)-f(a) }{ b-a }\]

Answer 2

b = 6, a = 2

Answer 3

f(6)-f(2)/4 ?@Astrophysics

Answer 4

@IrishBoy123

Answer 5

@DanJS

Answer 6

@oldrin.bataku

Answer 7

yes, the average rate of change for f(t) over some interval is the slope of a secant line connecting the two endpoints

Answer 8

The interval is between th epoints

(2 , f(2)) and (6 , f(6))

Answer 9

is it 1.5?

Answer 10

not sure

Answer 11

ok well cant you make sure ?

Answer 12

yeah looks right, 3/2 less i messed up in my head

Answer 13

ok! could you make sure this is correct?

Answer 14

one more is

Answer 15

The scatter plot below shows the number of pages scanned (y) in different number of hours (x) by a scanning machine:

Plot ordered pairs 0, 500 and 1, 1500 and 2, 2500 and 3, 3500 and 4, 4500 and 5, 5500

Which function best represents the data shown in the scatter plot?

y = 100 + 1,000x
y = 100 − 1,000x
y = 500 − 1,000x
y = 500 + 1,000x

Answer 16

you can see each next point has an increase in 1000 every time for the y, and 1 for the x

Answer 17

so it is a line

Answer 18

d? i think the asnwer i s

Answer 19

you can do it a few ways, this is prolly the fastest

slope from any 2 points is +1000 pages/hour

y-intercept is when time is zero, and is given in the first point, that is the initial number pages scanned

Answer 20

right

Answer 21

YAY im going to trun what i have to do in bye :))))