A mover is loading an elevator with many identical 48-pound boxes.
The mover weighs 185 pounds. The elevator can carry at most 2000 pounds.
Write an inequality that says that the mover will not overload the elevator on a particular ride.
a. Solve your inequality and explain what the solution means.
b. Graph the solution to your inequality on a number line.
Answers
Answer:
b
Step-by-step explanation:
a) After solving inequality , we get x ≤ 37.81 which meant number of boxes must be less than or equal to 38 approximately.
b) The graph is attached below.
What are inequalities ?
When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.
It is given that the elevator can carry at most 2000 pounds of load. The weight of mover is 185 pounds. Also a mover is loading an elevator with many identical 48-pound boxes.
a)
Let's assume that the number of boxes is x.
Then the inequality can be written as :
48 × x + 185 ≤ 2000
Solving the inequality to get the value of x :
48x ≤ 2000 - 185
48x ≤ 1815
x ≤ 38 (approximate)
It meant
b) The graph for inequality which is 48 × x + 185 ≤ 2000 or say x ≤ 38 is shown below.
Therefore , the answers are :
a) After solving inequality we get x ≤ 37.81 which meant number of boxes must be less than or equal to 38 approximately.
b) The graph is attached below.
Learn more about inequalities here :
brainly.com/question/25275758
#SPJ2
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