Just with part

26 five pounds of body fat is equivalent to 16 , 000 calories. carol can burn 600 calories per hour bicycling and 400 calories per hour swimming.

a)
how many calories will carol burn in x hours of cycling? how many calories will she burn in y hours of swimming?

b)
write an equation in general form that relates the number of hours, x , of cycling and the number of hours, y , of swimming carol needs to perform in order to lose 5 pounds.

a) Number of calories burned in hours of cycling and Number of calories burned in hours of Swimming is .

b)The equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds is .

Step-by-step explanation:

Given:

5 pounds of body fat = 16000 calories

Number of calories burn in 1 hour of cycling = 600

Number of calories burn in 1 hour of swimming = 400

Part a:

We need to find number of calories will Carol burn in hours of cycling and number of calories will Carol burn in hours of swimming.

Solution:

Now we know that;

1 hr of cycling = 600 calories burned

hr of cycling = Number of calories burned in hours of cycling.

By using Unitary method we get;

Number of calories burned in hours of cycling =

Also we know that;

1 hr of swimming= 400 calories burned

hr of swimming = Number of calories burned in hours of swimming.

By using Unitary method we get;

Number of calories burned in hours of Swimming =

Hence Number of calories burned in hours of cycling and Number of calories burned in hours of Swimming is

Part b:

We need to write equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds.

Solution:

Now given;

5 pounds = 16000 calories.

So we can say that;

Total number of calories to be burn is equal to sum of Number of calories burned in hours of cycling  and Number of calories burned in hours of Swimming.

framing in equation form we get;

Now dividing both side by 100 we get;

Hence the equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds is .