62510
AssignmentMultiple Select

Function Notation

Question 62510 • AZ-Algebra 1A (MA101)

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t. Which statements are true of the scenario? Select two answers.. The independent variable, the input, is the variable d, representing distance.The distance traveled depends on the amount of time Marlene rides her bike.The initial value of the scenario is 16 miles per hour.The equation t = d + 16 represents the scenario.The function f(t) = 16t represents the scenario.

Answer
A
The independent variable, the input, is the variable d, representing distance.
B
The distance traveled depends on the amount of time Marlene rides her bike.
C
The initial value of the scenario is 16 miles per hour.
D
The equation t = d + 16 represents the scenario.
E
The function f(t) = 16t represents the scenario.

Explanation

Time is the input, and distance depends on how long Marlene rides, so statement B is true. At 16 miles per hour, her distance after t hours is d = 16t, so f(t) = 16t in statement E represents the scenario. The rate is not an initial value; the distance at time 0 is 0 miles.

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