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:[tex]d=0.75m[/tex]Step-by-step explanation:Letd------> the distance in milesm----> the time in minuteswe know that The speed is equal to divide the distance by the timeso[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 thatA 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]soIn 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