Final answer:
To use at least 170 calories, a person must walk for at least 26 minutes at a speed of 4 mph.
Step-by-step explanation:
To find out how long a person must walk at a speed of 4 mph to use at least 170 calories, we can set up a proportion using the given information. We know that a 150-pound person uses 6.7 calories per minute when walking at this speed. Let's use 'x' to represent the number of minutes it takes to use at least 170 calories:
6.7 calories / 1 minute = 170 calories / x minutes
Cross multiply and solve for 'x':
6.7x = 170
x = 170 / 6.7
x ≈ 25.37
Rounding up to the nearest minute, the person must walk for at least 26 minutes to use at least 170 calories.