Chapter 8.1, Problem 29PPS

a.

To determine

To find: The function of the given situation.

Answer to Problem 29PPS

The function of the given situation is $y=18{\left(1.25\right)}^{x-1}$ .

Explanation of Solution

Given information:

In a sequence of the number, the next number is $125\%$ of the previous number. The first number of the pattern is $18$ .

The function of the given situation is obtained as,

  $\begin{array}{c}y=18{\left(1+0.25\right)}^{x-1}\\ =18{\left(1.25\right)}^{x-1}\end{array}$

Thus, the function of the given situation is $y=18{\left(1.25\right)}^{x-1}$ .

b.

To determine

To find: The graph of the function.

Explanation of Solution

Given information:

In a sequence of the number, the next number is $125\%$ of the previous number. The first number of the pattern is $18$ .

Consider the graph of the function as,

  

c.

To determine

To find: The value of the tenth number.

Answer to Problem 29PPS

The value of the tenth number is $134$ .

Explanation of Solution

Given information:

In a sequence of the number, the next number is $125\%$ of the previous number. The first number of the pattern is $18$ .

The value of the tenth number is obtained as,

  $\begin{array}{c}y=18{\left(1.25\right)}^{x-1}\\ =18{\left(1.25\right)}^{10-1}\\ =134\end{array}$

Thus, The value of the tenth number is $134$ .