The document explains how to use a slope-intercept equation to calculate the total cost of a cab ride based on the number of miles driven. The equation for the cab company is y = 0.85x + $3.00, where y is the total cost, x is the number of miles, 0.85 is the cost per mile, and $3.00 is a flat fee. Examples are provided to show how to calculate the total cost for 1, 2, and 3 miles using the equation.

1. Understanding slope intercept

2. Let’s look at an example!
A local cab company charges by the mile to drive
passengers from one location to another.
The equation can be written as y = 0.85x + $3.00 where x
stands for the number of miles and y stands for the total
cost.
What does this equation mean?

3. What does it mean? y = 0.85x + $3.00
 If we think about this equation, we have two
numbers in play. The $3.00 is just a flat rate.
You would need to pay that $3.00 just for
using the cab.
 We notice that the $0.85 is multiplied by the
number of miles, so that is our slope and
tells us that each mile travelled will cost
$0.85.

4. What does the equation mean?
So in our equation, we have y = 0.85x + 3.00
If we drove one mile, we would pay:
y = 0.85(1) + 3.00 and that would be $3.85
If we drove two miles, we would pay:
y = 0.85(2) + 3.00 and that would be $4.70
If we drove three miles, we would pay:
y = 0.85(3) + 3.00 and that would be $5.55

5. Check for Understanding
So, how much would you pay for driving ten miles?
Remember, our equation is y = 0.85x + 3.00, where x
stands for the number of miles!
Click to the next slide when you are ready!

6. Solution!
We would replace x with 10.
Y = 0.85(10) + 3.00
So, we would pay $11.50!

7. Solution!
We would replace x with 10.
Y = 0.85(10) + 3.00
So, we would pay $11.50!