Jason and Mary are running on a 200 meter track. The expressions in the table above show the distance to the finish line t seconds after they started the race. How many meters will Mary have left to finish the race when Jason is on the finish line?

Explanation

We are given two expressions that represent the distance to the finish line for Jason and Mary at time t seconds:Jason: -8t + 200Mary: -7.5t + 200This means both runners start 200 meters away from the finish line, and their speeds are 8 m/s for Jason and 7.5 m/s for Mary.Step 1: When does Jason reach the finish line?To find that, we set Jason's distance to 0:-8t + 200 = 0 Add 8t to both sides: 200 = 8t Now divide by 8: t = 25So Jason finishes the race in 25 seconds.Step 2: How far is Mary at t = 25?Now plug t = 25 into Mary's expression:-7.5(25) + 200 = -187.5 + 200 = 12.5