Final answer:
To interpret the statement b(14)=170, we need to find the value of b(14) by substituting t = 14 into the quadratic equation and solving it.
Step-by-step explanation:
The expression b(14)=170 is a quadratic equation of the form at² + bt + c = 0, where the constants are a = 4.90, b = 14, and c = -20. To interpret this statement, we need to find the value of b(14), which means finding the value of the quadratic equation at t = 14. We can do this by substituting t = 14 into the equation and solving for the value of b(14).
Substituting t = 14 into the equation:
4.90(14)² + 14(14) - 20 = 0
956.4 + 196 - 20 = 0
1132.4 - 20 = 0
1112.4 = 0
The value of b(14) is 1112.4.