Question

I need help with task 2!!Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven. Pick a U.S. city and research the rates of twodifferent cab companies in that city. Find companies that charge different amounts per mile and have different flat fees. If you have trouble finding this information for two companies, you can make up what you think would be reasonable prices for a cab's flat rate and a cab's rate per mile.

Answer 1

Let's take as an example a flat fare of $2.5 and $0.5 per mile. If we want to calculate the total cost for 0 miles, we need to multiply the cost per mile by the number of miles and add the result to the flat fare, we get:

`C_0=2.5+0.5(0)=2.5`

Therefore, the cost for 0 miles is $2.5.

The cost for 1 mile is:

`C_1=2.5+(0.5)(1)=3`

Therefore, the cost for 1 mile is $3.

The cost for 2 miles is:

`C_2=2.5+(0.5)(2)=3.5`

Therefore, the cost per 3 miles is $3.5. We continue like this for the 3, 4, and 5 miles and we get:

`\begin{gathered} C_3=2.5+(0.5)(3)=4 \\ C_4=2.5+(0.5)(4)=4.5 \\ C_5=2.5+(0.5)(5)=5 \end{gathered}`

With these values, we can fill the table.

Part a: An equation in slope-intercept form for the cost is given when we set "x" as the number of miles and use the same procedure as before, but for "x" miles:

`C_x=2.5+0.5x`

This is a slope-intercept form of a line equation. This form is preferable because it is easier to use for calculating the total cost by simply replacing the values of "x" and solving the operations.

Part c A line equation in slope-intercept form is:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept. In this case, the slope is 0.5 and it represents the cost per mile.