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 th
e distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.
*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.
*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.
2 answers:
Let
t--------> the time measured in hours
d-------> the distance in miles
we understand that
this represents a linear equation corresponding to the situation
where time t is the independent variable and distance d is the dependent variable
The distance in function notation can be expressed as
Using a graphical tool
refer to the attached image
The function's domain extends over the interval----------> [0,∞)
The range of this function is defined by the interval-------> [0,∞)
Statements
a) The independent variable, the input, is the variable d, which signifies distance
This statement is incorrect
Because the independent variable is actually t
b) The distance covered is contingent on the duration of time Marlene spends riding her bike
This statement is correct
Because the equation for distance in function notation is equal to
c) The initial speed relevant to the scenario is 16 miles per hour
This statement is incorrect
Because indicates the slope or rate of the linear equation
d) The equation t = d + 16 relates to the scenario
This statement is incorrect
Because the situation is represented by the function
e) The function f(t) = 16t relates to the scenario
This statement is correct
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Answer: 0.5507
Step-by-step explanation:
Given: The time between sightings of speeders by a radar system is represented by the continuous random variable X, which follows a cumulative distribution function
If we convert 12 minutes into hours, it equals hours or 0.2 hours.
To find the probability of waiting less than 12 minutes:
Thus, the probability we are looking for is: 0.5507