Q17. - Algebra 1

Question

The distance d in kilometers that sound waves travel through water is given by $d=1.6t$, where t is the time in seconds.

 

1. Make a table of values and graph the equation. 
2. Use the graph to estimate how far sound can travel through water in 7 seconds.

Step-by-Step Solution

Answer

a. The required table is represented by

Time	Distance
1	1.6
2	3.2
3	4.8
4	6.4

And, the graph is given below as,

b. The required distance is represented by 11.2.

Part a. Step 1. Determine the method which can be used to determine the values that can be inserted into the table.

Take the help of provided equation $d=1.6t$ and substitute 1, 2, 3 and 4 into it to determine the values of d.

$$\begin{gathered} d=1.6\left(1\right) \\ d=1.6 \end{gathered}$$

$\begin{array}{l}d=1.6\left(2\right)\\ d=3.2\end{array}$

$\begin{array}{l}d=1.6\left(3\right)\\ d=4.8\end{array}$

$$\begin{gathered} d=1.6\left(4\right) \\ d=6.4 \end{gathered}$$

Part a. Step 2. Determine the required table.

Make a table with two columns in which the first column will represent the time and second will represent its respective distance.

Time	Distance
1	1.6
2	3.2
3	4.8
4	6.4

Part a. Step 3. Draw the graph.

Use the obtained table and plot the points on the graph after it join them to get the required graph.

Part b. Step 1. Determine the method which can be used to determine the required distance.

Take the help of obtained graph and its zooming will help.

Part b. Step 2. Determine the point which consist of the distance.

Spot the point on the line where the point on the horizontal axis is 7.

Part b. Step 3. Write the conclusion.

The vertical axis represents the distance so the required distance is represented by 11.2.