Final answer:
By setting up a proportion based on the given information of distance over time (90 feet/25 seconds) and using the desired time frame (50 seconds), we can find that Eli will travel 180 feet in 50 seconds when we solve for x.
Step-by-step explanation:
To solve this proportion problem, we will set up a proportion based on the information given:
If Eli travels 90 feet in 25 seconds, we can express this as a ratio of distance to time:
90 feet / 25 seconds.
To find out how many feet Eli will travel in 50 seconds, we set up the proportion with an unknown distance (let's call it x) for the 50 seconds:
90 feet / 25 seconds = x feet / 50 seconds.
Next, we cross-multiply to solve for x:
(90 feet) * (50 seconds) = (x feet) * (25 seconds).
4500 feet-seconds = 25x feet-seconds.
Now, divide both sides by 25 seconds to solve for x:
x = 4500 feet-seconds / 25 seconds.
x = 180 feet.
The correct answer is 180 feet, which corresponds to option b).