The ordered pairs (1,-4), (2, -8), (3,-12), (4,-16) and (5,-20) represent a function. What is a rule that represents this function?(1 point)
Responses
y= -4^x
y= -4x
y= x - 4
y= x^-4
The correct rule that represents this function is:
y = -4x
To find the rule that represents the given function, let's first analyze the pattern in the ordered pairs. Notice that each x-coordinate increases by 1, while the y-coordinate decreases by 4.
Based on this pattern, we can deduce that the rule that represents this function is y = -4x.
Explanation: The rule y = -4x indicates that the y-coordinate is obtained by multiplying the x-coordinate by -4. In each ordered pair, if we input the x-coordinate and evaluate the rule, we will get the corresponding y-coordinate. For example, if we substitute x = 1 into the rule y = -4x, we obtain y = -4(1) = -4, which matches the first ordered pair (1, -4). Similarly, for all the other ordered pairs, plugging in the x-coordinates into the rule will yield the correct y-coordinates.