A bicycle wheel turns at a rate of 80 revolutions per minute (rpm). a. Write a function that represents the number of revolutions r t in t minutes. b. For each revolution of the wheels, the bicycle travels 7.2 ft. Write a function that represents the distance traveled d r in ft for r revolutions of the wheel. c. Find d ○ r t and interpret the meaning in the context of this problem. d. Evaluate d ○ r 30 . and interpret the meaning in the context of this problem.
A bicycle wheel turns at a rate of 80 revolutions per minute (rpm). a. Write a function that represents the number of revolutions r t in t minutes. b. For each revolution of the wheels, the bicycle travels 7.2 ft. Write a function that represents the distance traveled d r in ft for r revolutions of the wheel. c. Find d ○ r t and interpret the meaning in the context of this problem. d. Evaluate d ○ r 30 . and interpret the meaning in the context of this problem.
Solution Summary: The author analyzes the function r(t)=80t, which represents the number of revolutions in t minutes.
A bicycle wheel turns at a rate of 80 revolutions per minute (rpm).
a. Write a function that represents the number of revolutions
r
t
in
t
minutes.
b. For each revolution of the wheels, the bicycle travels 7.2 ft. Write a function that represents the distance traveled
d
r
in ft
for
r
revolutions of the wheel.
c. Find
d
○
r
t
and interpret the meaning in the context of this problem.
d. Evaluate
d
○
r
30
.
and interpret the meaning in the context of this problem.
a. Clara cycles at a constant speed of 5 meters per second from west to east along a path. She passes a road sign
during her ride. If t represents the mumber of seconds since Clara was 17 meters east of the road sign, write an
expression to represent Clara's distance east of the road sign.
Distance Clara is East of the road sign
meters.
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b. The cireumference of a circle is
times as large as the eircle's radius. Preview
c. The applet below shows two line segments whose lengths represent the values of A and B. In the applet, you
can vary both A and B by dragging the purple X's at the ends of the line segments.
Set the applet so that A is 22.5 units long and Bis 4.5 units long.
41.50
B-2.00
i. Line A is
units Saloct an answer v than Line B.
ii. Line B is
units Select an answer v than Line A.
iii. Line A is
times as long a line B.
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iv. Line B is
times as long a line A.
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The stopping distance ( s) of a car varies directly as the square of its speed ( v). If a car traveling at 30 mph requires 63 ft to stop, find the stopping
distance for a car traveling at 50 mph.
O A. 81.333 ft
O B. 175.000 ft
C. 105.000 ft
D. 37.800 ft
O E. 22.680 ft
0O0
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