Question

YOU RRR MEH HEROOOZZ! PUHLEASZEEE ITS 10:30pm!!

Answer 1

Answer:

$x(35)\approx 11.8$

Step-by-step explanation:

Modeling With Functions

We have a table of values of speeds vs distance taken for a car to stop. We are required to find a model that uses the square root and fits the given data to predict other values of d as a function of v.

By the nature of the problem, we can know that for v=0, d must be 0 too. So our model won't include a vertical shift or independent term. Being v the speed of the car and x the distance it takes to stop, we use the following model

$x(v)=A\sqrt{v}$

We must find A to make the function fit the data. Let's use the first point (v,x); (20,9)

$9=A\sqrt{20}$

Solving for A

$\displaystyle A=\frac{9}{\sqrt{20}}$

$A\approx 2$

Then we have

$x(v)=2\sqrt{v}$

Evaluating for v=35

$x(35)=2\sqrt{35}=11.83$

$\boxed{x(35)\approx 11.8}$

Last option