Question

ASAP help please and thankyou A rental car company has a linear pricing plan. The total cost C , to rent a car for 2,4,6, and 10 days, d, is shown A )What is the daily rate for the pricing plan? B) Write an equation that represents the pricing plan.

Answer 1

We are given a data set, and we are told that this can be represented as a linear equation. Let's remember the general form for the equation of a line:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept. To find the slope we use the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

where:

`\begin{gathered} (x_1,y_1) \\ (x_2,y_2) \end{gathered}`

Are points through which the line passes. These two points can be found in the given data set. Let's take the following points:

`\begin{gathered} (x_1,y_1)=(2,105) \\ (x_2,y_2)=(4,195) \end{gathered}`

We can find the slope using the previous formula, like this:

`m=(195-105)/(4-2)=(90)/(2)=45`

This is the daily rate for the pricing plan. Now we can find the y-intercept "b" using one of the points given, like this:

`y=45x+b`

replacing the point (2,105), we get:

`105=45(2)+b`

Solving the operation:

`105=90+b`

subtracting 90 on both sides:

`\begin{gathered} 105-90=90-90+b \\ 15=b \end{gathered}`

Replacing the value of "b" in the equation:

`y=45x+15`

This is the equation of the line that models the data set given.