Linear Functions and Their Properties

The video tutorial explores whether the function s = 7D + 2 is linear. It begins by setting up a table to evaluate the function for different values of D, showing that s increases by 7 for each unit increase in D. This consistent rate of change confirms the function is linear. The tutorial concludes by eliminating incorrect answer choices and affirming the linearity of the function.

What is the value of s when D is 0 in the function s = 7D + 2?

• 7

• 0

• 2

• 9

How much does s increase when D changes from 1 to 2 in the function s = 7D + 2?

• 9

• 14

• 7

• 5

What defines a function as linear?

• It increases by a constant factor.

• It increases by a constant amount.

• It decreases by a constant amount.

• It decreases by a constant factor.

By how much does s increase when D increases by 1 in the function s = 7D + 2?

• 2

• 5

• 7

• 9

Why is the function s = 7D + 2 not considered exponential?

• Because it multiplies by a constant factor.

• Because it adds a constant amount.

• Because it decreases by a constant factor.

• Because it decreases by a constant amount.

What is the correct answer choice for the function's nature in the video?

• C

• B

• D

• A