Question

Two students used different methods to measure the length of their model bridge project. One student measured the bridge length in feet using 11n – 2.92. The second student measured the bridge length in feet using 5n +4.64. What is the value of n if the two measurements are equal?

A. 0.1
B. 0.3
C. 0.42
D. 1.26

Answer 1

The value of n that makes the two measurements of the model bridge equal is 1.26, corresponding to answer choice D.

Step-by-step explanation:

To find the value of n when the two measurements of the model bridge project are equal, we set the two expressions for the length in feet equal to each other:

1. 11n – 2.92 = 5n + 4.64
2. Subtract 5n from both sides: 6n – 2.92 = 4.64
3. Add 2.92 to both sides to isolate the variable term: 6n = 7.56
4. Divide both sides by 6 to solve for n: n = 1.26

The value of n that makes the two measurements equal is 1.26, which corresponds to answer choice D.