One inch is equal to approximately 2.5 centimeters. Let x represent inches and y represent centimeters. Write an equation in standard form relating x and y. Give the values of A, B, and C.
x=2.5y
x-2.5y=0
Therfore,
A=1
B=-2.5
C=0
I believe
x = 2.5y
What are A, B and C?
To write the equation relating x (in inches) and y (in centimeters), we need to determine the linear relationship between the two measurements.
Since one inch is approximately equal to 2.5 centimeters, we can say:
y = 2.5x
To put this equation in standard form (Ax + By = C), we need to isolate x on one side of the equation:
-2.5x + y = 0
Now, let's multiply through by -10 (to eliminate the decimal):
25x - 10y = 0
Therefore, the equation relating x and y in standard form is:
25x - 10y = 0
In this equation, A = 25, B = -10, and C = 0.
To write an equation in standard form relating x and y, we can use the fact that one inch is equal to approximately 2.5 centimeters.
First, let's determine the relationship between x and y. We know that 1 inch is equal to 2.5 centimeters. So, if x represents inches and y represents centimeters, we can say that:
x inches = y centimeters
Now, let's convert this equation into standard form. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.
To convert the equation x inches = y centimeters into the standard form, we need to get rid of the decimals. We can achieve this by multiplying both sides of the equation by a constant that will eliminate the decimals.
Since 1 inch is equal to approximately 2.5 centimeters, we can represent this relationship as:
x inches = 2.5y centimeters
Multiplying both sides by 10 to eliminate the decimal gives us:
10x inches = 25y centimeters
Now, let's rearrange the equation to match the standard form:
-10x + 25y = 0
In this equation, A = -10, B = 25, and C = 0.
So, the equation in standard form relating x and y is:
-10x + 25y = 0