Question

A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Which equation represents the distance, d, that the car travels in m minutes?

Answer 1

Answer:

$d=0.75m$

Step-by-step explanation:

Let

d------> the distance in miles

m----> the time in minutes

we know that

The speed is equal to divide the distance by the time

so

$speed=d/m$

we have

$d=2\frac{5}{8}\ miles=\frac{2*8+5}{8}=\frac{21}{8}\ miles$

$m=3\frac{1}{2}\ minutes=\frac{3*2+1}{2}=\frac{7}{2}\ minutes$

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

so

In this problem the speed is the constant of proportionality

$d=km$

Find the value of k

$k=\frac{(21/8)}{(7/2)} =0.75\frac{miles}{minute}$

$d=0.75m$ ----> linear equation that represent the distance, d, that the car travels in m minutes