Respuesta :
Answer:
a) Number of calories burned in [tex]x[/tex] hours of cycling [tex]600x[/tex] and Number of calories burned in [tex]y[/tex] hours of Swimming is [tex]400y[/tex].
b)The equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds is [tex]6x+4y=160[/tex].
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 [tex]x[/tex] hours of cycling and number of calories will Carol burn in [tex]y[/tex] hours of swimming.
Solution:
Now we know that;
1 hr of cycling = 600 calories burned
[tex]x[/tex] hr of cycling = Number of calories burned in [tex]x[/tex] hours of cycling.
By using Unitary method we get;
Number of calories burned in [tex]x[/tex] hours of cycling = [tex]600x[/tex]
Also we know that;
1 hr of swimming= 400 calories burned
[tex]y[/tex] hr of swimming = Number of calories burned in [tex]y[/tex] hours of swimming.
By using Unitary method we get;
Number of calories burned in [tex]y[/tex] hours of Swimming = [tex]400y[/tex]
Hence Number of calories burned in [tex]x[/tex] hours of cycling [tex]600x[/tex] and Number of calories burned in [tex]y[/tex] hours of Swimming is [tex]400y[/tex]
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 [tex]x[/tex] hours of cycling and Number of calories burned in [tex]y[/tex] hours of Swimming.
framing in equation form we get;
[tex]600x+400y=16000[/tex]
Now dividing both side by 100 we get;
[tex]\frac{600x}{100}+\frac{400y}{100}=\frac{16000}{100}\\\\6x+4y=160[/tex]
Hence the equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds is [tex]6x+4y=160[/tex].