Answer:
d = (3/4)*m
Step-by-step explanation:
In 3 1/2 minutes it travels 2 5/8 miles
3 1/2 = 3.5 minutes
2 5/8 =2.625 miles
to find out how much it travels in only one minute, we divede 2.625 miles by 3.5 minutes
2.625/3.5 = 0.75 miles/minute
so, to find out how much miles it travels on m minutes, we multiply m by 0.75
distance d = 0.75 *m
or expressing this as a fraction (since 0.75 = 3/4):
d = (3/4) * m
Answer:
The distance traveled, d, as a function of time, m is d = (3/4 mile/min)m
Step-by-step explanation:
Recall that distance = speed times time.
Symbolically, d = r*t, where r = speed and t = time. In this problem d = r*m, where m = elapsed time in minutes.
First find the speed. Dividing 2 5/8 miles by 3 1/2 minutes yields the unit rate of travel:
2 5/8 miles
-----------------------
3 1/2 minutes
Converting both mixed numbers into improper fractions, we get:
21/8
------- miles/min
7/2
Recall that dividing by a fraction is equivalent to multiplying by the reciprocal of the divisor fraction:
21 2
------ * ------ miles/min This readily reduces to 3/4 mile/min
8 7
and so the desired equation for distance as a function of time is
d = (3/4 mile/min)m, where m is the number of minutes elapsed.
