Answer:
Step-by-step explanation:
If the greater number is x and it is two times greater than the other number then the other number is half as big. This is true because 2*x = x
Answer:
The number of Pencils purchased and the cost of pencils has a proportional relationship.
Step-by-step explanation:
In order to figure out if a proportional relationship between two variable exists,
- All you need is to check if relationships between two variables have equivalent ratios.
- If the ratios between two variables is same, it means a proportional relationship between two variable exists.
Lets take a simple example:
As
2/10 = 9/45 is a TRUE proportion.
The reason is that both fractions reduces to 1/5, and
because 10 × 9 = 2 × 45.
So
In the equation it needs to be determined whether the number of Pencils purchased and the cost of pencils represent a proportional relationship?
When we are given that:
In other words each pencil costs $0.25.
As each pencil costs $0.25, it means:
2 pencils cost $0.5, 3 pencils cost $0.75, and 4 pencils cost $1 and so on.
Thus
Cost ÷ No of Pencils Purchased = 0.25 ÷ 1 = 0.5 ÷ 2 = 0.75 ÷ 3 = 1 ÷ 4
And the ratio is same.
i.e. cost per pencil = 0.25 : 1
As all of the ratios are same, we can determine that it has a proportional relationship.
Therefore, the number of Pencils purchased and the cost of pencils has a proportional relationship.
The tree is 19.55 meters tall.
Step-by-step explanation:
Shadow of tree = 20.7 meters
Height of tree = x
Hiker's shadow = 1.8 meters
Hiker's height = 1.7 meters
Using proportion
Shadow of tree : Height of tree :: Shadow of hiker : Height of hiker
Product of mean = Product of extreme
Dividing both sides by 1.8
The tree is 19.55 meters tall.
Keywords: ratio, proportion
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