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.
19950/15 = 1330 tickets sold last year
1330 * 20 = 26,600 <== the school will make $ 26,600
Let x be the number of texts (amount of texts) Carly does in a month.
Let y be the "total" amount Carly will have to pay in a month.
Then, as per the TURKEY plan, Carly's monthly total cost will be represented by the equation as shown: ![y=0.15x+20](https://tex.z-dn.net/?f=y%3D0.15x%2B20)
As we can clearly see in the above equation even if Carly does not text a single message (when x=0), even then they will have to pay $20 for that month.
For the GOBBLE plan, the equation will be:
.
In this plan as there is no fixed charge, Carly wont have to pay anything extra if they dont make a call.
Answer:
arc length = 4π units
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × ![\frac{90}{360}](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B360%7D)
= 2π × 8 × ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
= 2π × 2
= 4π units ← exact answer
(5+1)2 - (12+32) + 3
6 (2) - 44 + 3
12 - 44 + 3 = -29