in the equation below, y is a function of x.
y = 4x + 8
if the value of x isdecreased by 3, how will the value of y change?
y will decrease by four times 3, or 12
I need help in homework
To find out how the value of y will change when the value of x is decreased by 3, we first need to understand the equation y = 4x + 8.
In this equation, y represents the dependent variable (the output) and x represents the independent variable (the input). The equation tells us that y is equal to 4 times x, plus 8.
To see how the value of y changes when x is decreased by 3, we substitute x - 3 into the equation and check the result.
Replace x with x - 3:
y = 4(x - 3) + 8
Distribute 4 to the terms inside the parentheses:
y = 4x - 12 + 8
Combine like terms:
y = 4x - 4
From the modified equation y = 4x - 4, we can see that when the value of x is decreased by 3, the value of y will decrease by 4.
So the value of y will change by -4 (it will decrease by 4) when the value of x is decreased by 3.