a. Fran is looking for her walking rate at 12 minutes, which is 48 feet per second.
b. d(t) = 100 indicates that it takes Fran 25 minutes to walk a distance of 100 feet.
c. The function rule indicates that a distance of 64 feet was walked in 16 minutes.
d. The function rule indicates that it would take Fran 50 minutes to walk a distance of 200 feet.
How to find what Fran is looking for
a. To find what Fran is looking for when she writes d(12), substitute the value 12 for t in the function rule d(t) = 4t:
d(12) = 4 * 12
Evaluate the expression
d(12) = 48
Therefore, Fran is looking for her walking rate at 12 minutes, which is 48 feet per second.
b. When we have d(t) = 100, it represents a situation where Fran is looking for the time it takes to walk a certain distance.
Substitute 100 for d(t) in the function rule:
100 = 4t
To find t, divide both sides of the equation by 4:
100/4 = t
t = 25
So, d(t) = 100 indicates that it takes Fran 25 minutes to walk a distance of 100 feet.
c. To indicate that a time of 16 minutes was walked using the function rule d(t) = 4t, evaluate d(16):
d(16) = 4 * 16
d(16) = 64
Therefore, the function rule indicates that a distance of 64 feet was walked in 16 minutes.
d. To indicate that a distance of 200 feet was walked using the function rule d(t) = 4t, solve the equation for t:
4t = 200
Divide both sides by 4:
t = 200/4
t = 50
So, the function rule indicates that it would take Fran 50 minutes to walk a distance of 200 feet.
Fran collected data on the number of feet she could walk each second and wrote the following rule to model her walking rate d(t)=4t, where t is time in minutes.
a. What is Fran looking for if she writes d(12)=_______?
b. In this situation what does d(t)=100 tell you?
c. How can the function rule be used to indicate that a time of 16 minutes was walked.
d. How can the function rule be sued to indicate that a distance of 200 feet was walked?