Which situation can be represented by the equation y= 12x - 4?
A. The number of eggs , y, in x, dozen eggs for sale after 4 dozen eggs are sold.
B. The cost of, y, of buying x movie tickets that sell for 8$ each.
C. The cost, y, after a 4$ discount, of buying x t-shirts that sell for 12$ a piece.
D. The number of inches, y, in an x-foot tall tree after cutting off 4 feet.
All of these are confusing me. please help
hi evrybody
A is what you want
B is just y = 8x
C is y = (12-4)x
D is y = 12x - 12*4 = 12(x-4)
To determine which situation can be represented by the equation y = 12x - 4, we need to analyze the equation and compare it to the given situations.
The equation y = 12x - 4 is in the form of y = mx + b, which represents a straight line equation where m is the slope and b is the y-intercept.
Let's break down the equation:
y = 12x - 4
In this equation,
- The coefficient of x is 12, which represents the slope. The slope determines how much y increases or decreases for every 1 unit increase in x.
- The constant term -4 represents the y-intercept. The y-intercept is the value of y when x is equal to zero, or, in other words, the starting value of y.
Now, let's analyze each situation and see which one matches the given equation:
A. The number of eggs, y, in x dozen eggs for sale after 4 dozen eggs are sold.
This scenario does not involve a linear relationship with a constant slope and y-intercept. It is not represented by the given equation.
B. The cost of, y, of buying x movie tickets that sell for 8$ each.
This scenario does not involve a linear relationship with a constant slope and y-intercept. It is not represented by the given equation.
C. The cost, y, after a 4$ discount, of buying x t-shirts that sell for 12$ a piece.
This scenario involves a linear relationship with a constant slope and y-intercept. If we interpret x as the number of t-shirts being purchased and y as the cost after the discount, the equation y = 12x - 4 fits this situation. The initial cost without any discount is $12, represented by the slope, and there is a constant discount of $4, represented by the y-intercept.
D. The number of inches, y, in an x-foot tall tree after cutting off 4 feet.
This scenario does not involve a linear relationship with a constant slope and y-intercept. It is not represented by the given equation.
Therefore, the situation represented by the equation y = 12x - 4 is option C: The cost, y, after a $4 discount, of buying x t-shirts that sell for $12 a piece.