a freight elevator has a capacity of 3000 pounds.
a.) If a barrel averages 40 pounds and a crate 100 pounds, write and inequality that describes when x barrels and y crates will causes the elevator to be overloaded.
b.) The inequality is ________
40x+150y>3000
a.) If a barrel averages 40 pounds and a crate 100 pounds, the total weight of x barrels and y crates can be calculated as 40x + 100y.
b.) The inequality to describe when x barrels and y crates will cause the elevator to be overloaded can be written as:
40x + 100y > 3000
To write the inequality, we need to determine the weight of x barrels and y crates combined. Since a barrel averages 40 pounds and a crate weighs 100 pounds, the weight of x barrels would be 40x pounds, and the weight of y crates would be 100y pounds.
Now, we can write the inequality by adding the weight of barrels and crates and comparing it to the capacity of the elevator:
40x + 100y > 3000
Therefore, the inequality that describes when x barrels and y crates will cause the elevator to be overloaded is:
40x + 100y > 3000.