Respuesta :
The system of equations in the slope-intercept form is;
Farmer Elentine: [tex]y = - 4x + 110[/tex].
Farmer Hab: [tex]y =7x + 33[/tex].
Step-by-step explanation:
Step 1:
Farmer Elentine starts with 110 lirts on his farm. So the constant for the equation is 110. If he explodes 4 of them with every passing hour
after 1 hour, lirts exploded = [tex]4(1) = 4[/tex],
after 2 hours, lirts exploded = [tex]4(2) = 8[/tex],
after x hours, lirts exploded = [tex]4(x) = 4x[/tex].
Step 2:
To calculate the lirts in a particular period of time, we subtract the number of lirts exploded from 110.
The slope-intercept form is [tex]y = mx +b.[/tex]
If y represents the number of lirts and x is the number of hours, then
[tex]y = - 4x + 110[/tex].
Step 3:
Farmer Hab started with 33 lirts on her farm. So the constant for the equation is 33. If she bought 7 of them with every passing hour,
after 1 hour, lirts bought = [tex]7(1) = 7[/tex],
after 2 hours, lirts bought = [tex]7(2) = 14[/tex],
after x hours, lirts bought = [tex]7(x) = 7x[/tex].
Step 4:
To calculate the lirts in a particular period of time, we add the number of lirts bought with 33.
The slope-intercept form is [tex]y = mx +b.[/tex]
If y represents the number of lirts and x is the number of hours, then
[tex]y =7x + 33[/tex].