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9.7.67
A 150-pound person uses 6.7 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 190 calories?

Respuesta :

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]