Chapter 9.4, Problem 8IP

To determine

To determine if there is a constant of variation or not.

Answer to Problem 8IP

The constant of variation is $3.50$ .

Explanation of Solution

Given information:

The equation $y=3.50x+5$

  $y=$ Number of Dollars

  $x=$ Number of Miles

Calculation:

There is a constant of variation or not.

  $\begin{array}{l}\text{Miles Dollars }\\ \begin{array}{l}0 \left(3.50\times 0\right)+5 =5.00\hfill \\ 1 \left(3.50\times 1\right)+5=8.50\hfill \\ 2 \left( 3.50\times 2\right)+5=12.00\hfill \\ 3 \left(3.50\times 3\right)+5=15.50\hfill \end{array}\end{array}$

Therefore,

The variation of miles ran in a marathon is constant variation of $3.50$ .

It represents, for renting a taxi Kristin charges $5$ dollars initially, but after that charges at rate of $3.50$ dollar per mile.