Question

In a certain year the amount A of garbage in pounds produced after t days by an average household is given by A=5.5t
Graph the equation t>0
How many days it take for the average household 100 pounds of garbage?

Answer 1

amount A of garbage in pounds produced after t days
A = 5.5 t
So, it takes t days to produce amount A of garbage,
=> t = A / 5.5
Substitute A = 100 in above equation to find the number of days takes to produces 100 pounds of garbage
You get t = 100/5.5

Answer 2

I am veiwning it

Answer 3

veiwing

Answer 4

do i put 100 divide into 5.5 to figure out the approximate amount of use in 100days

Answer 5

yes, you should get t as:
100/5.5 = 18.18 days

Answer 6

yeah i have that

Answer 7

i gotta round to the nearest tenth

Answer 8

18.2

Answer 9

@sistergrl4 Great! That's the correct answer:)

Answer 10

im sorry it says to nearest whole number

Answer 11

Then the answer is 18!

Answer 12

but we have 18.18 round to 18.2

Answer 13

ok

Answer 14

do you have time for another question?

Answer 15

Yes of course:)

Answer 16

ok here it goes

Answer 17

A certain mountain has an elevation of 19,809 feet. In 1917, the glacier covered 4 acres. By 2005 this glacier has melted 1 acre.
The year change is blank acres/year

Answer 18

What is the equation that gives the acreage of the glacier t years past 1917.
A= blank

Answer 19

I have A=-3/88

Answer 20

this problem is difficult

Answer 21

Let's assume this glacier melts at a constant rate each year.
We have to find the equation of the acreage.
Here, we have two point for (1917,4), (2005,1)

Let slope of the equation be A
A = (y1 - y2) / (x1 - x2)
= (1 - 4) / (2005- 1917) = -3/88
the slope states that 3 acres are lost every 88 years which works out to
-1/29.333 which is one acre every 29.333 years or 0.0340909...acres per year

Now you have found A,
Ok the equation that gives the acreage of the glacier t years past 1917:
x = At + b
Then in 1917, t =0
4 = -3/88 * 0 + b
=> b =4

x = -3/88t -4 is the equation where a= acres of glacier remaining after t years.

Answer 22

ok so how would i wright acres of change over years is it -3/88

Answer 23

Sorry this shoud be x = -3/88t +4

Answer 24

so this should be A= -3/88+4

Answer 25

it also ask me to fill in the blank for acres/years?

Answer 26

yes, this is the answer to your problem, A= -3/88 t +4

Answer 27

The yearly rate change blank is acres/years?

Answer 28

ok I have the A= answer right for the -3/88...

Answer 29

The yearly rate change is 3/88

Answer 30

ok that is what i am assuming because i was confused and also do i still have to place the negative sign on the fraction or no?

Answer 31

I really do appreciate you for taking the time out to help me

Answer 32

yes, it's a negative rate, so you have to put the - sign: -3/88

Answer 33

ok do you have time for one last question this is my last problem i worked it out but idw if i did it right

Answer 34

@sistergrl4 It's a pleasure:) yes, just ask me:)

Answer 35

f(a)=t,f(b)=s,f(c)=q,f(d)=t
Write the function set pair for domain and range

Answer 36

I have f= (a,t), (b,s),(c,q),(d,t)

Answer 37

domain = a,b,c,d
range= t,s,q,t

Answer 38

Good! the domain is {a,b,c,d}
and the Range = {t,s,q}

Answer 39

ok i was asking because usually this type of prob has numbers not alphabets

Answer 40

do you like coming on here a lot to help people i am not a superb math student but i try at my best

Answer 41

Yes, functions can also be extended to sets of ordered pairs [see the graph]

Yes, I'll do my best to help u whenever I'm free! I know you'll soon become a superb mathematician! All the best!!:)

Answer 42

yeah thanks very much