Question

a car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the distance, d, that the car travels in m minutes.

Answer 1

Answer:

d(m) = (1.05 miles/min)*m

Step-by-step explanation:

Divide 2 5/8 miles by 3 1/2 minutes to obtain the unit rate (miles per minute):

2 5/8 miles

--------------------

3 1/2 minutes

First, convert 2 5/8 miles and 3 1/2 minutes to improper fractions:

21/8 miles             21/8 miles

------------------  =  ----------------------  =  21/20 miles/minute

5/2 minutes         20/8 minutes

The constant rate is (21/20) miles/minute, or 1.05 miles/minute.

Thus, the equation representing the distance, d, that the car travels in m minutes is

d(m) = (1.05 miles/min)*m

Answer 2

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