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QuestionFind the number of water bottles Mr. Ken's class had on day 2 and day 4, given they started with 17 and collected consistently.

Studdy Solution

STEP 1

Assumptions1. The class started with17 water bottles on day1. . On day3, they had29 water bottles.
3. On day5, they had41 water bottles.
4. The class is collecting a consistent number of bottles each day.

STEP 2

First, we need to find out how many bottles the class is collecting each day. We can do this by subtracting the number of bottles they had on day1 from the number they had on day, and then dividing by the number of days between day1 and day.
Bottles per day=(Bottles on day −Bottles on day 1)/(Day −Day 1)Bottles\, per\, day = (Bottles\, on\, day\, - Bottles\, on\, day\,1) / (Day\, - Day\,1)

STEP 3

Now, plug in the given values for the number of bottles on day1 and day3, and the days to calculate the number of bottles collected each day.
Bottles per day=(29−17)/(3−1)Bottles\, per\, day = (29 -17) / (3 -1)

STEP 4

Calculate the number of bottles collected each day.
Bottles per day=(29−17)/(3−1)=6Bottles\, per\, day = (29 -17) / (3 -1) =6

STEP 5

Now that we know the class is collecting bottles each day, we can find out how many bottles they had on day2 by adding the number of bottles collected in one day to the number of bottles they had on day1.
Bottles on day 2=Bottles on day 1+Bottles per dayBottles\, on\, day\,2 = Bottles\, on\, day\,1 + Bottles\, per\, day

STEP 6

Plug in the values for the number of bottles on day1 and the number of bottles collected each day to calculate the number of bottles on day2.
Bottles on day 2=17+6Bottles\, on\, day\,2 =17 +6

STEP 7

Calculate the number of bottles on day2.
Bottles on day 2=17+6=23Bottles\, on\, day\,2 =17 +6 =23

STEP 8

Similarly, we can find out how many bottles they had on day4 by adding the number of bottles collected in one day to the number of bottles they had on day3.
Bottles on day 4=Bottles on day 3+Bottles per dayBottles\, on\, day\,4 = Bottles\, on\, day\,3 + Bottles\, per\, day

STEP 9

Plug in the values for the number of bottles on day3 and the number of bottles collected each day to calculate the number of bottles on day4.
Bottles on day 4=29+6Bottles\, on\, day\,4 =29 +6

STEP 10

Calculate the number of bottles on day4.
Bottles on day 4=29+6=35Bottles\, on\, day\,4 =29 +6 =35On day2, the class had23 bottles and on day4, they had35 bottles.

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