Chapter 8.1, Problem 4BGP

To determine

To calculate: To find how long it took to travel $25$ miles

Answer to Problem 4BGP

Time taken to travel $25$ miles is $4.5hours$

Explanation of Solution

Given information: The function to represent the total distance travelled in any number of hours spent whale watching is $y=5.5x$

Formula Used:

Speed is defined as Distance travelled divided by time take

  $Speed=\frac{Distance}{Time}$

Calculation:

The function to represent the total distance travelled in any number of hours spent whale watching is $y=5.5x$

Now to calculate the time taken to travel $25$ miles, substitute $y=25$ in the equation

  $25=5.5x$

On solving the above equation,

  $\begin{array}{l}x=\frac{25}{5.5}\\ x=\frac{25\times 10}{55}\\ x=\frac{5\times 10}{11}\\ x=\frac{50}{11}\\ x=4.5hours\end{array}$

Conclusion:

Hence, the time taken is $4.5hours$