Question

cab connect charges a base fee of $2.50 plus a fee of$2.25 per milewrite a function that represents that cost of a cab ride, y, in terms of miles traveled,x.what is the rate of change slope? how much does 1 mile cost to travel.what is the initial value(y-intercept)? what does it mean in context of the situation?

Answer 1

1. According to the situation, the function that represents the cost of a cab ride is:

`y=2.25x+2.5`

2. The change of rate is represented by the fee per mile, in this case it is 2.25.

To travel 1 mile costs $4.75. To find it, replace x for 1 in the function:

`\begin{gathered} y=2.25(1)+2.5 \\ y=4.75 \end{gathered}`

3. The initial value (y intercept) is 2.5. This represents the base fee of the ride.