Question

From the previous question: If you have $20 to spend on the taxi trip, how many miles can you go? Describe how youcould use a graph to solve the problem.

Answer 1

The equation of the Amount paid for a trip is given by:

`y=0.5x+3.00`

where x is the number of miles of the trip, while y is the total amount paid for the trip.

If we are to use a graph to solve the problem, we need a table of values first.

We shall choose 5 values for x which range from (0 to 10) in steps of 2.

The corresponding y values must be gotten by substituting these x values into the equation of the trip given above.

`\begin{gathered} y=0.5x+3.00 \\ \text{when x = 0} \\ y=0.5(0)+3 \\ y=3.00 \\ \\ \text{when x = 2} \\ y=0.5(2)+3 \\ y=1+3=4 \\ \\ \text{when x = 4} \\ y=0.5(4)+3 \\ y=2+3=5 \\ \\ \text{when x = 6} \\ y=0.5(6)+3 \\ y=3+3=6_{} \\ \\ \text{when x = 8} \\ y=0.5(8)+3 \\ y=4+3 \\ y=7 \\ \\ \text{when x = 10} \\ y=0.5(10)+3 \\ y=5+3=\text{ 8} \end{gathered}`

From the calculations done above, we have the coordinates of our graph to be:

(0, 3)

(2, 4)

(4, 5)

(6, 6)

(8, 7)

(10, 8)

Thus, we can create our table of values:

Thus, with this table of values, we can plot the graph. The plotted graph is shown below:

Therefore, the total number of miles you can travel with $20 is 34 miles