A 12 foot long wooden beam is supported on both ends. When a weight load is placed in the center of the beam, it causes the beam to sag. The sag is called deflection. The graph shows the deflection of the beam, in inches, as a deflection of the weight load, in pounds, placed in the center of the beam.

For every 50-pound increase in the weight load, what will be the change in deflection?

A.) an increase of 0.5 inch

B.) a decrease of 0.5 inch

C.) an increase of 0.25 inch

D.) a decrease of 0.25 inch

A.) an increase of 0.5 inch

B.) a decrease of 0.5 inch

C.) an increase of 0.25 inch

D.) a decrease of 0.25 inch

Simply identify how much the graph is moving up, in inches, for every 50 pound increment moving up, in pounds.

For example, at 50 pounds, the deflection is 0.25 inch, and at 100 pounds, the deflection is 0.5 inch.

Therefore, the change in deflection for every 50 pound increase will be an increase of 0.25 inch.

For example, at 50 pounds, the deflection is 0.25 inch, and at 100 pounds, the deflection is 0.5 inch.

Therefore, the change in deflection for every 50 pound increase will be an increase of 0.25 inch.

**C****.) an increase of 0.25 inch**

**- Algebra House**