Answer: [tex]28.35\ minutes[/tex]
Step-by-step explanation:
Let be "x" the time in minutes a 150-pound person must walk at 4 mph to use at least 190 calories.
The amount of calories that a 150-pound person uses in 1 minute when walking at a speed of 4 mph is:
[tex]Calories\ per\ minute=6.7[/tex]
Therefore, knowing this, we can write the following proportion:
[tex]\frac{1}{6.7}=\frac{x}{190}[/tex]
Finally, we must solve for "x" in order to find its value.
Multiplying both sides of the equation by 190, we get this result:
[tex](190)(\frac{1}{6.7})=(\frac{x}{190})(190)\\\\x=28.35[/tex]