Marisol has a bicycle with wheels of 29 inches in diameter. eliza has a bicycle with wheels of 26 inches in diameter. both women pedal their bicycles so that the wheels turn at a constant rate of 150 revolutions per minute. which statement compares the speeds of the two women? (note: 1 mile = 5,280 feet) a)eliza travels approximately 1.34 miles per hour faster than marisol. b)eliza travels approximately 2.68 miles per hour faster than marisol. c)marisol travels approximately 1.34 miles per hour faster than eliza. d)marisol travels approximately 2.68 miles per hour faster than eliza.

We know that

Marisol has a bicycle with wheels of 29 inches in diameter
radius r=29/2> r=14.5 in
[length of a circumference]=2*pi*r> 2*pi*14.5> 91.06 in

if one revolution> is 91.06 in
150 revolutions > X
X=150*91.06> 13659 in/min

1 mile> 63360 in
X> 13659 in
X=13659/63360> 0.216 miles

the speed of Marisol is 0.216 miles/min> 0.216/(1/60)
= 12.93 miles/hour

Eliza has a bicycle with wheels of 26 inches in diameter
radius r=26/2> r=13 in
[length of a circumference]=2*pi*r> 2*pi*13> 81.64 in

if one revolution> is 81.64 in
150 revolutions > X
X=150*81.64> 12246 in/min

1 mile> 63360 in
X> 12246 in
X=12246/63360> 0.193 miles

the speed of Eliza is 0.193 miles/min> 0.193/(1/60)
= 11.60 miles/hour

therefore

[marisol speed-eliza speed]=12.93-11.60=1.33 miles/hour

the answer is the option
C)Marisol travels approximately 1.34 miles per hour faster than Eliza

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.