Answer:
A number,Y,is 2 less than half of a number X
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Situation : Earnings of 15 dollars is represented as integer as .
<u>Step-by-step explanation:</u>
Here we have , to Write an integer to represent the following situation: Earnings of 15 dollars . Let's find out:
Integer : An integer in math is composes of both positive and negative whole number as : -3,-2,-1,0,1,2,3 etc ..........
According to statement , we need to write an integer to represent the statement : EARNINGS OF 15 DOLLARS . There is word earnings in statement that means increment or increase , and other words are 15 dollars or $15 . So , above statement means increase of 15 dollars which can be represented as an integer as given below :
⇒
Where + sign means increase or , with reference to statement it refers to word earnings . Therefore , Situation : Earnings of 15 dollars is represented as integer as .
-2x+14 is the same as 14 - 2x
Let's say you started off with $14. If you want to buy a soda worth $2, then you have 14-2 = 12 dollars left. If you buy two sodas, then you spend 2*2 = 4 dollars with 14-4 = 10 dollars left.
In general, buying x sodas will cost you 2*x dollars and you have 14 - 2x dollars left over. The x is simply a placeholder for a whole number. For example, if x = 3, then...
14 - 2x = 14 - 2*3 = 14 - 6 = 8
meaning buying 3 sodas cost you $6 and you have $8 left over.
If y is the amount left over, then we can say y = 14 - 2x which is equivalent to y = -2x+14
note: graphing this equation will go through the two points (0,14) and (7,0) as shown in the image below. A graph is handy to help see various points on the line. Each point represents the amount of sodas you can buy (x) and the amount left over in your pocket (y). Keep in mind that neither x nor y can be negative, so it only makes sense to restrict the graph.
