if a 150 lb person can burn 410 calories /hour while bicycling 12 mi/h

What rate would a 120 lb person burn calories while bicycling 12 mi/h?

can some one explain this to me how to solve these kind of problems

One has to assume some relationship with caloric burning rate and weight.

Lets assume it is proportional (in reality I doubt if it is).

150/120 = 410/x

solve for x.

150/120=410/x
150x=120 x 410
150x = 49200

if i divid 150 into the 49200 i would get 328

rate would be
328cal/h
am i correct

To solve this problem, you can set up a proportion to determine the rate at which a 120 lb person would burn calories while bicycling at 12 mi/h.

The given information is that a 150 lb person burns 410 calories/hour at the same speed.

We can assume that the relationship between weight and calories burned is proportional, so we set up the proportion:

150/120 = 410/x

Here, x represents the calories burned by a 120 lb person.

To solve for x, you can cross multiply:

150x = 120 x 410

150x = 49200

Now, divide both sides of the equation by 150 to solve for x:

x = 49200/150

Simplifying this fraction, you'll get:

x = 328

Therefore, the rate at which a 120 lb person would burn calories while bicycling at 12 mi/h is 328 calories/hour. So, you are correct!