Question

choose the situation that represents a function.

• the number of raisins in an oatmeal raisin cookie is a function of the diameter of the cookie.
• the inches of rainfall is a function of the day’s average temperature.
• the time it takes to cook a turkey is a function of the turkey’s weight.
• the number of sit - ups a student can do in a minute is a function of the student’s age.

Explanation:

To determine a function, each input (independent variable) must have exactly one output (dependent variable).

• For "number of raisins in a cookie vs. diameter": A cookie with a certain diameter can have varying numbers of raisins (multiple outputs for one input).
• For "inches of rainfall vs. day’s average temperature": A single average temperature can correspond to different rainfall amounts (multiple outputs for one input).
• For "time to cook a turkey vs. turkey’s weight": Generally, a specific weight of a turkey corresponds to one typical cooking time (one output per input, as weight largely determines cooking time in a predictable way).
• For "number of sit - ups vs. student’s age": A student of a certain age can do different numbers of sit - ups (multiple outputs for one input).

Answer:

C. The time it takes to cook a turkey is a function of the turkey’s weight.