Question

check my answer please
will medal

a herd of zebra currently has 45 members. based on the available resources biologists estimate that the size of the herd will increase at a rate of 7% per year. which of the following graphs models this relationship if the x axis represents years and the y axis represents number of zebra.

Answer 1

@DanJS

Answer 2

@iambatman

Answer 3

i think its d

Answer 4

@wio

Answer 5

@myininaya

Answer 6

@DanJS

Answer 7

@wio

Answer 8

@Nnesha

Answer 9

@iambatman

Answer 10

@wio

Answer 11

@DanJS

Answer 12

so when it says it increases at a rate of 7% per year, what kind of function is that?

Answer 13

Hint: It is section 3 in your review list on that web site.

Answer 14

THe initial condition is 45 zebras. when x=0, y=45

Answer 15

What will y(1) =

The initial amount increases by 7% each increase of 1 unit in x years

Answer 16

exponential

Answer 17

right

Answer 18

48.15

Answer 19

Remember the general form looks something like

y(x) = A*b^x

Answer 20

right, 48.15 is y(1), the number of zebras after 1 year

Answer 21

Here is how to form the equation to use....

Answer 22

\[y(x) = A*b^x\]

They tell you that initially there are 45 zebras. That is when x=0. The point is x=0, y=45

Answer 23

\[y(0) = 45 = A*b^0\]

Answer 24

look familiar?

Answer 25

yeah

Answer 26

a base to the zero power equals 1, so that point x=0, y=45 gives you the value for A

y(0) = 45 = A *1

A =45

Answer 27

\[y(x) = 45*b^x\]

Now just have to find b.

Answer 28

you could use another data point. You figured y(1) = 48.15 zebras.

Answer 29

y(1) = 48.15 = 45(b)^1

b = 1.07

Answer 30

Overall function is then

\[y(x) = 45*1.07^x\]

Answer 31

To pick what graph, let x be a higher number of years,

x = 20, what is the population at 20 years?

y(20) = 45*1.07^20 = 174.13 zebras

Answer 32

Graph B has the axis labeled wrong

You chose the right one, D

Answer 33

@Dianie

Answer 34

ok so d was correct thanks