Question

As part of an Earth Science project, Erin tracked the amount of rain fall for 4 weeks. She started tracking after finding some initial data on the year's rainfall to date.


Week Rainfall
1 5.5
2 8
3 10.5
4 13

If the linear function representing the amount of rainfall each week is f(w) = 2.5w + 3. What does the 3 represent in this function?

Answer 1

well what does the w part of the function even represent?

Answer 2

weeks

Answer 3

@phanta_seea

Answer 4

OK so more weeks = more rainfall right?

because a number 2.5 is mulitplied by w

Answer 5

right so multiply 2.5 by the 3 week

Answer 6

it would show the total amount of rain fall?

Answer 7

yes

2.5 x 3 weeks = 7,5

Answer 8

the +3 indicates that there was already water in the bin, when Hailee first arrived!

Answer 9

zero weeks have passed, and there's already up to the 3 mark

Answer 10

if additional rain comes into the bin, the existing water is still there
so we add +3 every time

Answer 11

Erin, not Hailee..

Answer 12

so its A?

Answer 13

you did not list the possible answers A-D

Answer 14

what does A state?

Answer 15

The amount of rainfall in week 0.

The week that Erin collected data.

The amount of total rainfall.

The amount the rainfall increased each week

Answer 16

yes, it's A

Answer 17

thank you can you help me with one more

Answer 18

ok

Answer 19

Alex is saving money because she would like to purchase the new video gaming system that everyone has been talking about. After two weeks of saving, she had $47. After 24 weeks of saving, she had $430. Approximately how many dollars per week did Alex save on average between weeks 2 and 24?

$15.96 per week

$17.41 per week

$17.91 per week

$19.88 per week

Answer 20

I remember this question :)

Answer 21

:)

Answer 22

ok so how much did she save a week = the slope of her balance function

Answer 23

do you agree?

Answer 24

yes i agree

Answer 25

we got two points with information, we have to use them as a basis for what has happened the whole time.

Point A: (week 2, $47)
Point B: (week 24, $430)

Answer 26

question can i use the choices and multiply them by 24 weeks

Answer 27

yes IF you also consider the starting point

it's like with the rain

we started with some savings in week two. we don't know if she already had savings when she started saving
that would change the total value a bit

Answer 28

okay so ill go with your method

Answer 29

you take the difference in money and compare it with the passed time
this gives the average of savings/week

a) what was the difference in money?
b) what was the time passing?

data:
Point A: (week 2, $47)
Point B: (week 24, $430)

Answer 30

wait would it be C\

Answer 31

let's see:
a) the difference in money is $430 - $47, or $383
b) the time passing is 24-2 weeks, or 22 weeks

Answer 32

383 / 22

Answer 33

383 / 22 = 1
22
-- v
163

Answer 34

22 how many times in 163

Answer 35

i did 17.91* 24=429.84000000000003 than i rounded up 1

Answer 36

and the answer to your question is 7

Answer 37

your savings per week is to high. because the initial savings that she already got:
they were distributed over all 24 weeks

Answer 38

yes, you are right it's 7
so

383 / 22 = 17
22
---
163
154
---
009

Answer 39

383 / 22 = 17.
22
---
163
154
--- v
0090

to get the first after decimal point
we have to determine how often does 17 go into 90

Answer 40

and that gives us the answer to the question as well

Answer 41

which is 5

Answer 42

so the answer would be something like $17.5 per week

Answer 43

it should be B)

Answer 44

aha thank you i wish there was a way to give you more gold

Answer 45

I'm not sure why the long division is off by one
calculator gave 17.4 though

Answer 46

OH I know why!

we were supposed to divide by 22 and not by
the part of the answer 17 haha

Answer 47

so yes it's definately b)

Answer 48

lmaoo we still got it right

Answer 49

:)