Question

HELP!!!

Malia is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Malia's inputs and the corresponding outputs displayed by the calculator: (1, 4), (2, 9), (3, 14), (4, 19) Which of the following functions best represents the rule that the calculator uses to display the outputs?

Answer 1

The linear equation that represents the rule used by the calculator is y = 5x - 1.

Step-by-step explanation:

The ordered pairs (1, 4), (2, 9), (3, 14), and (4, 19) represent inputs and outputs of a function. To find the rule that the calculator uses to display the outputs, we need to identify the pattern between the inputs and outputs. In this case, the difference between each input is 1, and the difference between each output is 5. This suggests a linear relationship.

The equation for a linear relationship is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 5, and the y-intercept can be determined by substituting one of the input-output pairs into the equation. Let's use the first pair (1, 4):

4 = 5(1) + b

4 = 5 + b

b = -1

Therefore, the linear equation that represents the rule used by the calculator is y = 5x - 1.