Question

Meryl needs to cut down 10.5 trees for every 5 cabins she builds complete the table using equivalent ratios

Answer 1

The information we have is:

She cut down 10.5 trees for every 5 cabins.

We can represent this as a ratio as follows:

`(5)/(10.5)`

where the numerator represents the number of cabins, and the denominator represents the number of trees she cuts.

To complete the table we need to find equivalent ratios.

In this case, lets first divide both numbers by 5 to find an equivalent ratio:

`(5)/(10.5)=\frac{5\text{ /5}}{10.5\text{ /5}}=(1)/(2.1)`

1/2.1 is an equivalent ratio.

Using this new ratio we can find the missing values in the table.

To find the first blank space, we multiply 1/2.1 by 3/3:

`(1)/(2.1)\cdot(3)/(3)`

Here, we have to multiply both numbers 1 and 2.1 by 3, the result is:

`(1\cdot3)/(2.1\cdot3)=(3)/(6.3)`

This tells us that for every 3 cabins, Meryl cuts down 6.3 trees.

The number for the first blank space is 6.3.

To find the second blank space, we multiply 1/2.1 by 7/7:

`(1)/(2.1)\cdot(7)/(7)`

Multiplying both numbers by 7:

`(1*7)/(2.1*7)=(7)/(14.7)`

We have found another equivalent ratio. This tells us that for every 7 cabins, Meryl cuts down 14.7 trees.

The number for the second blank space is 14.7.

Answer: 6.3 and 14.7