Question

Which situations can be represented by an exponential function?

Select each correct answer.

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.

On the highway, Kareem's car gets 38 mpg.

A toad population is increasing by about 7.5% each year.

Answer 1

@Vocaloid

Answer 2

this is hard to explain but

Answer 3

in two of these scenarios the output value is obtained by multiplying the previous input value by rate of increase/decrease

Answer 4

so in the first scenario, each attendance is being multiplied by (4/5) to get the next year's attendance so it is exponential

Answer 5

there's one more with a similar premise, can you find the correct answer choice?

Answer 6

sorry if this is unclear

Answer 7

ok it's A and C

Answer 8

it's ok i got it

Answer 9

yep good

Answer 10

oh wait i forgot

Answer 11

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.

On the highway, Kareem's car gets 38 mpg.

A toad population is increasing by about 7.5% each year.

Shu Fang has $25.75 deducted from her checking account every month.

Answer 12

it's like this sorry

Answer 13

the answer is still the same since D is linear not exponential

Answer 14

Function f is shown in the table.

What type of function is function f?

A. neither linear nor exponential

B. linear

C. exponential

Answer 15

i'll send the pic

Answer 16

hint: is it increasing by the same amount each time?

Answer 17

yes

Answer 18

is the increase from 0 to 8 the same size as the increase from 32 to 72?

Answer 19

i meant no

Answer 20

good so it is not linear

Answer 21

I figured it out, it's C

Answer 22

good

Answer 23

This table shows the input and output values for an exponential function f(x) .

What is the ratio of outputs for any two inputs that are one value apart?

A. 1/2

B. 2

C. 1/8

D. 4

Answer 24

i'll send the pic

Answer 25

hint: what value do you have to multiply with 1 to get 4?

Answer 26

4

Answer 27

good, what value do we have to multiply with 4 to get 16?

Answer 28

4

Answer 29

good, so if you've noticed a pattern, you have to multiply each output value by 4 to get the next output value

Answer 30

so the ratio is 4

Answer 31

THE ANSWER IS D

Answer 32

The table represents an exponential function.

What is the ratio of outputs for any two inputs that are two values apart?

Divide the larger output by the smaller output.



Enter your answer, as a decimal to the nearest hundredth, in the box.

___________

Answer 33

awesome

Answer 34

I'LL SEND THE PIC

Answer 35

i did it but i put the answer 1.15

Answer 36

or either 0.575

Answer 37

hint: divide each value in the right column by the previous value

Answer 38

(48.24/45) = ?

Answer 39

ok so 51.71 isnt the largest output 59.43 is so dont we do 59.43/45

Answer 40

and 1.072

Answer 41

only divide values that are directly above/directly below in the column

Answer 42

good, so 1.072 is your answer

Answer 43

so none of those answer that i said aren't correct ?

Answer 44

no

Answer 45

it's 1.072

Answer 46

because i thought that

Since we were asked for the ratio of outputs for any two inputs that are 2 apart, we have:
For the values in year 0 and 2:

51.71/45 / (2-0) = 0.575

Answer 47

that's what i thought

Answer 48

it's asking for the ratio of outputs

Answer 49

actually the wording of the question is a bit unclear to me :S

Answer 50

if they're asking for output values that are two apart I guess it would be (51.71)/45

Answer 51

but anyways i thank you for all your help today and btw everytime i text you and you never replied back to me

Answer 52

so maybe go with yours or the others ?

Answer 53

I am a busy student and I try to help when I can but I cannot reply 24/7

I have my own homework + volunteer activities + my job as well

Answer 54

ok no problem

Answer 55

you have a lot on your plate

Answer 56

i understand

Answer 57

i don't mean to put too much pressure on you