Question

Which description could be written as a linear function?

A) Eight more than twice a number.
B) Three more than the product of two numbers.
C) Ten more than the square of a number.
D) Nine more than one divided by a number.

Answer 1

Description A, 'Eight more than twice a number', can be written as a linear function in the form y = 2x + 8, which adheres to the linear function format of y = mx + b with m and b as constants.

Step-by-step explanation:

The task is to identify which description could be written as a linear function. A linear function is of the form y = mx + b, where m and b are constants, and x is the variable.

• A) Eight more than twice a number: This can be written as y = 2x + 8, which is a linear equation since it shows a constant rate of change.
• B) Three more than the product of two numbers: This is not a linear function in one variable, as it involves the product of two variables.
• C) Ten more than the square of a number: This becomes y = x^2 + 10, which is a quadratic function, not linear because of the x squared term.
• D) Nine more than one divided by a number: This is y = 1/x + 9, which is a rational function, also not linear due to the division by a variable.

Therefore, the description that can be written as a linear function is A) Eight more than twice a number.