Chapter 11.1, Problem 51PPS

(a)

To determine

To Make: Thetable showing the number of weeks $w$ that she will need to practice for the following values of $h$

  $:1,2,4,5,8,10$

Answer to Problem 51PPS

  

Explanation of Solution

Given: Lina must practice driving $40$ hours with the parent and guidance before she is allowed to take the test to get her license. She plan to practice the same number of hours each week. Let $h$ represent the number of the hours per week that she practices driving.

Let $h$ represent the number of the hours per week and number of weeks = $w$

As the number of hours per week increase, the number of weeks reduce.

The table representing the situation is

  

(b)

To determine

To Describe: How the number of week changes as the number of hours per week increases.

Answer to Problem 51PPS

As the number of hours per week increase, the number of weeks reduce.

Explanation of Solution

Given: Lina must practice driving $40$ hours with the parent and guidance before she is allowed to take the test to get her license. She plan to practice the same number of hours each week.

The table representing the situation is

  

From the table it is seen that as the number of hours per week increase, the number of weeks reduce.

(c)

To determine

To Write:The equation that relates the relation between $handw$

Answer to Problem 51PPS

  $w=\frac{40}{h}$

Explanation of Solution

Given: Lina must practice driving $40$ hours with the parent and guidance before she is allowed to take the test to get her license. She plan to practice the same number of hours each week.

The equation for the relation between $handw$ is

  $\begin{array}{l}wh=40\\ w=\frac{40}{h}\end{array}$

The table representing the situation is

  

The graph is