Clayton got a box of chocolates for Valentine's Day. The function y = 12 represents the number of chocolates that remain, y, as a function of the number of days that have passed, x. What is true about the function? Choices: (A)It is linear because the rate of change is always 12. (B)It is linear because the rate of change is always 0. (C)It is nonlinear because the rate of change is undefined. (D)It is nonlinear because 12 does not represent a rate of change.

Question

Clayton got a box of chocolates for Valentine's Day. The function y = 12 represents the number of chocolates that remain, y, as a function of the number of days that have passed, x.  What is true about the function?   Choices: (A)It is linear because the rate of change is always 12. (B)It is linear because the rate of change is always 0. (C)It is nonlinear because the rate of change is undefined. (D)It is nonlinear because 12 does not represent a rate of change.

Bytelearn · Accepted Answer

Analyze the function: Analyze the function y = 12. This function means that no matter what value x takes, y always equals 12. This indicates a constant function where y does not change as x changes. Determine the rate of change: Determine the rate of change. In a constant function like y = 12, the change in y over the change in x (Δy/Δx) is 0, because y does not change regardless of changes in x. Identify if linear: Identify if the function is linear. A linear function has the form y = mx + b. Here, m (slope) would be 0 since the rate of change is 0, and b (y-intercept) is 12. Thus, the function is linear with a slope of 0.

Full solution

More problems from One-step inequalities: word problems

Related topics