Q:

A farmer has 60 bales of hay stored in his barn. He feeds his cows 4 bales each day. Which graph represents the number of bales in the barn, y, after feeding his cows for x days?

Accepted Solution

A:
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 = 60He feeds his cows 4 bales each day. It means number of bales decrease by 4 bales per day.Slope = -4The 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              0Plot these these points on coordinate plane and connect them by a straight line.The required graph is shown below.