Answer:
[tex]d=0.75m[/tex]
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
[tex]speed=d/m[/tex]
we have
[tex]d=2\frac{5}{8}\ miles=\frac{2*8+5}{8}=\frac{21}{8}\ miles[/tex]
[tex]m=3\frac{1}{2}\ minutes=\frac{3*2+1}{2}=\frac{7}{2}\ minutes[/tex]
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
so
In this problem the speed is the constant of proportionality
[tex]d=km[/tex]
Find the value of k
[tex]k=\frac{(21/8)}{(7/2)} =0.75\frac{miles}{minute}[/tex]
[tex]d=0.75m[/tex] ----> linear equation that represent the distance, d, that the car travels in m minutes
