WHICH equation describes the relationship between X and Y as in the table below x y
3 5
4 9
5 13
6 17
a. y=4x-7,b.y=x+12,c.y=2x-5,d.y=3x-5
can you give me the answer and explane it for me please!!!!!!!!!!!!
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To find the equation that describes the relationship between X and Y in the given table, we need to analyze the pattern in the data points. Let's look at the differences between the Y values:
x y Difference (y)
3 5 -
4 9 4
5 13 4
6 17 4
Observing the differences, we can see that the difference between consecutive Y values is always 4. This suggests that there is a constant rate of change between the X and Y values.
Now, let's use this information to determine the equation. We can start by taking any data point from the table, for example, (3, 5). Let's substitute this point into the options provided to see which equation is satisfied.
a. y = 4x - 7
Using x = 3,
y = 4(3) - 7 = 12 - 7 = 5
b. y = x + 12
Using x = 3,
y = 3 + 12 = 15 ≠ 5
c. y = 2x - 5
Using x = 3,
y = 2(3) - 5 = 6 - 5 = 1 ≠ 5
d. y = 3x - 5
Using x = 3,
y = 3(3) - 5 = 9 - 5 = 4 ≠ 5
As we can see, only option a satisfies the equation for the data point (3, 5). Therefore, the equation that represents the relationship between X and Y in the given table is:
y = 4x - 7
So, option a. y = 4x - 7 is the correct equation.
i would plug in the x's and y's in each equation and see which one works...example; x=3 and y=5
a. y=4x-7 5=4(3)-7 5=12-7 =5=5 so you know that these x and y values work for this equation
b. y=x+12 5=3+12 5=15 this doesn't work so you know that those x and y values are not correct because they don't work in every equation so you have to try the next set of x's and y's: 4 and 9
hope this makes sense. it takes a while but you get the right answer