Chapter 4.4, Problem 68E

To determine

To calculate: to use the law of forgetting example 5 to estimate a student score in a biology test two years after he get a score of 80 on a test convergent the same metrial.as c=0.3 and t is measured in months.

Answer to Problem 68E

The t is measured in months as $p\approx 30.46$

Explanation of Solution

Given information:

The information about the student score two years after 80 on a test convergent the same metrial.as c=0.3 and t is measured in months.

Formula used:

Use the formula ,

  $p=\frac{p_0}{{\left(t+1\right)}^c}$

Calculation :

Work as shown below , follow the steps here,

The score in the last biology test was $p_0=80$

And the value of $t=24$ .

In 24 months hat means 2 years .

For:

  $\begin{array}{c}c=0.3\left(given\right)\\ p=\frac{80}{{\left(24+1\right)}^{0.3}}\\ p=\frac{80}{{25}^{0.3}}\\ p=30.458430195\end{array}$

Round of two decimal value: $p\approx 30.46$

The above expression can’t be simplified further.

The result is as: $$

  $p\approx 30.46$