The model $\sqrt { \hat { s t r } } = 12 + 20 \mathrm { dia }$ can be used to predict the breaking strength of a rope (in pounds) from
Its diameter (in inches). According to this model, how much force should a rope one-half inch in
Diameter be able to withstand?
A) 22 lbs
B) 484 lbs
C) 4.7 lbs
D) 256 lbs
E) 16 lbs

Question

Quizplus · Accepted Answer

To find the breaking strength, substitute dia = 0.5 into the equation: $\sqrt{\hat{str}} = 12 + 20(0.5)$. This simplifies to $\sqrt{\hat{str}} = 22$. Squaring both sides gives $\hat{str} = 484$ lbs.

The Model str^=12+20dia\sqrt { \hat { s t r } } = 12 + 20 \mathrm { dia }str^​=12+20dia

The Model $\sqrt { \hat { s t r } } = 12 + 20 \mathrm { dia }$