Answer:
The required equation is [tex]y=-4x+60[/tex] and graph of this equation is shown below.
Step-by-step explanation:
Let y be the number of bales in the barn after feeding his cows for x days.
It is given that a farmer has 60 bales of hay stored in his barn.
Initial number of bales = 60
He feeds his cows 4 bales each day. It means number of bales decrease by 4 bales per day.
Slope = -4
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept or initial value.
Substitute m=-4 and b=60 in the above equation.
[tex]y=-4x+60[/tex]
The y-intercept of the graph is 60.
The table of values is shown below
x y
0 60
15 0
Plot these these points on coordinate plane and connect them by a straight line.
The required graph is shown below.
