Question

Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 6 miles in 24 minutes. Four minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 12 minutes. Assuming they bike the same path, will Hector catch up to Darnell before he gets home?

c. Write the system of linear equations that represents this situation.

d. Sketch the graphs of the two equations.

Answer 1

Solved; Das nell's date is 6 = @ I miles per 24 minute if he likes y sited, then; y - 400 miles in x minutes. cat that constant I miles x minutes then y = 1 low; Heatord rate is per minute; if he bikes miles in = 16 To account for the extra time Darnell has to bike, we write the equation; y = 1 (x-4) y=fG) - 2 © Write the system cell lineas equation, y = + GC) (Answer) g = £ (G)-2 Graph is shown Below; y = 1 Cor) Redline Blue line y = 1 (x) -2

30 20- 10. (8, 2) -10 0 10 20 --10- -20