A 3-mi cab ride costs $7.30. A 8-mi cab ride costs $15.30. Find a linear equation that models a relationship between cost c and distance d.Select one:a. c = 1.91d + 2.50b. d = 1.60c + 8.00c. c = 1.60d + 2.50d. c = 2.43d + 8.00

Answer:Option c) [tex]c=1.60d+2.5[/tex]Step-by-step explanation:Letd -----> the distance in milesc ----> the cost in dollarswe have the ordered pairs(3,7.30)  and (8,15.30)step 1Find the slope of the linear equationThe slope is equal to[tex]m=\frac{15.30-7.30}{8-3}[/tex][tex]m=\frac{8}{5}[/tex]step 2 Find the equation of the line in point slope form[tex]c-c1=m(d-d1)[/tex]we have[tex]point\ (3,7.30)[/tex][tex]m=\frac{8}{5}[/tex]substitute[tex]c-7.30=\frac{8}{5}(d-3)[/tex][tex]c=\frac{8}{5}d-\frac{24}{5}+7.30[/tex][tex]c=1.60d+2.5[/tex]