Question

Please help! Just with Part B...

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.

Answer 1

a) Number of calories burned in
`x` hours of cycling
`600x` and Number of calories burned in
`y` hours of Swimming is
`400y`.

b)The equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds is
`6x+4y=160`.

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
`x` hours of cycling and number of calories will Carol burn in
`y` hours of swimming.

Solution:

Now we know that;

1 hr of cycling = 600 calories burned

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

By using Unitary method we get;

Number of calories burned in
`x` hours of cycling =
`600x`

Also we know that;

1 hr of swimming= 400 calories burned

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

By using Unitary method we get;

Number of calories burned in
`y` hours of Swimming =
`400y`

Hence Number of calories burned in
`x` hours of cycling
`600x` and Number of calories burned in
`y` hours of Swimming is
`400y`

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
`x` hours of cycling and Number of calories burned in
`y` hours of Swimming.

framing in equation form we get;

`600x+400y=16000`

Now dividing both side by 100 we get;

`(600x)/(100)+(400y)/(100)=(16000)/(100)\\\\6x+4y=160`

Hence the equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds is
`6x+4y=160`.