Chapter 3.7, Problem 50E

a.

To determine

To calculate: At what coordinates should you place the paddle to break the last brick.

Answer to Problem 50E

we can take point as $\left(5,3\right)$ or $\left(6,2\right)$ or $\left(7,1\right)$ or $\left(8,0\right)$

Explanation of Solution

To break the last brick we should place our paddle at the point whose slope is equal to the slope of path and if we construct a line from that point to path, it should be coinciding.

So we can take point as $\left(5,3\right)$ or $\left(6,2\right)$ or $\left(7,1\right)$ or $\left(8,0\right)$

b.

To determine

To calculate: How can you write an absolute value function that describes the path of the ball.

  

Answer to Problem 50E

  $y=m\left(x-5\right)+3$ or $y=m\left(x-6\right)+2$ or $y=m\left(x-7\right)+1$ or $y=m\left(x-8\right)+0$ .

Explanation of Solution

As we know that the path is a straight line so to write an equation, we can use equation of straight line, i.e. $y=m\left(x-x_1\right)+y_1$ where $\left(x_1,y_1\right)$ is the point where paddle is placed.

For $\left(5,3\right)$ ,we get $y=m\left(x-5\right)+3$

For $\left(6,2\right)$ ,we get $y=m\left(x-6\right)+2$

For $\left(7,1\right)$ , we get $y=m\left(x-7\right)+1$

and for $\left(8,0\right)$ , we get $y=m\left(x-8\right)+0$