Solved on Oct 29, 2023

Complete the table using equivalent ratios. Find the number of cabins for 2.1 hectares and 3 hectares of land.
10.5510.5 \quad 5 2.1?2.1 \quad ? 373 \quad 7

STEP 1

Assumptions1. The ratio of hectares of land to the number of cabins is constant. . The given ratio is10.5 hectares to5 cabins.

STEP 2

First, we need to find the ratio of hectares of land to the number of cabins. We can do this by dividing the number of hectares by the number of cabins.
Ratio=HectaresoflandNumberofcabinsRatio = \frac{Hectares\, of\, land}{Number\, of\, cabins}

STEP 3

Now, plug in the given values for the hectares of land and the number of cabins to calculate the ratio.
Ratio=10.55Ratio = \frac{10.5}{5}

STEP 4

Calculate the ratio.
Ratio=10.=2.1Ratio = \frac{10.}{} =2.1

STEP 5

Now that we have the ratio, we can use it to find the number of cabins for each given number of hectares. We can do this by dividing the number of hectares by the ratio.
Numberofcabins=HectaresoflandRatioNumber\, of\, cabins = \frac{Hectares\, of\, land}{Ratio}

STEP 6

Plug in the values for the hectares of land and the ratio to calculate the number of cabins for2.1 hectares.
Numberofcabins=2.12.1Number\, of\, cabins = \frac{2.1}{2.1}

STEP 7

Calculate the number of cabins for2.1 hectares.
Numberofcabins=2.12.1=1Number\, of\, cabins = \frac{2.1}{2.1} =1

STEP 8

Repeat steps6 and7 to calculate the number of cabins for1 hectare.
Numberofcabins=12.1Number\, of\, cabins = \frac{1}{2.1}

STEP 9

Calculate the number of cabins for hectare.
Numberofcabins=2..48Number\, of\, cabins = \frac{}{2.} \approx.48

STEP 10

Repeat steps6 and7 to calculate the number of cabins for3 hectares.
Numberofcabins=32.Number\, of\, cabins = \frac{3}{2.}

STEP 11

Calculate the number of cabins for3 hectares.
Numberofcabins=3..43Number\, of\, cabins = \frac{3}{.} \approx.43

STEP 12

Repeat steps6 and7 to calculate the number of cabins for7 hectares.
Numberofcabins=72.Number\, of\, cabins = \frac{7}{2.}

STEP 13

Calculate the number of cabins for7 hectares.
Numberofcabins=72.3.33Number\, of\, cabins = \frac{7}{2.} \approx3.33The completed table is as followsHectares of land | Number of cabins--- | --- 10.5 |52. | |0.483 |.437 |3.33

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