2. manielle and ross were playing in the dirt and each found a caterpillar. they decided to race them, giving minelle's caterpillar a 2.5 foot head start from the starting line while ross' caterpillar began at the starting line. minelle's caterpillar travels 6 in. per minute and ross' travels 8 in. per minute. how far from the starting line were minelle's and ross' caterpillars, in that specific order, after 6 minutes of racing?
a. 36 in, and 48 in.
b. 36 in. and 78 in.
c. 38.5 in. and 48 in.
d. 66 in. and 48 in.
m's position is 2.5*12+6t
r's position is 8t
when t=6,
m=66
r=48
(d)
extra credit: when does ross's creeper overtake minelle's?
where did you get 12 from when you multiplied 2.5*12? and what does t stand for?
To find the distance from the starting line for both caterpillars after 6 minutes of racing, we need to calculate the distance traveled by each caterpillar.
First, let's calculate the distance traveled by Minelle's caterpillar. We know that it travels at a rate of 6 inches per minute. So in 6 minutes, it would cover a distance of 6 inches/minute * 6 minutes = 36 inches.
Now, let's calculate the distance traveled by Ross' caterpillar. Since Ross' caterpillar started from the starting line, it doesn't have any head start. It travels at a rate of 8 inches per minute. So in 6 minutes, it would cover a distance of 8 inches/minute * 6 minutes = 48 inches.
Therefore, the distance from the starting line for Minelle's caterpillar is 36 inches, and for Ross' caterpillar is 48 inches.
So the correct answer is option a. 36 in. and 48 in.