1. The starting cost to get into a Blue Cab is $2.00.
2. The cost per mile for a Blue Cab is $7.00.
3. The equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Blue Cab is 5x + 2.
The equation written in the slope-intercept form is: y = mx + b, where m represents the slope and b represents the y-intercept.
1. The starting cost to get into a Blue Cab is $2.00 (0, 2).
2. The cost per mile for a Blue Cab is $7.00 ($2 + 5(1)
3. The initial or fixed cost for a Blue Cab = $2.00.
Taking two coordinate points from the Blue Cab graph:
(0, 2) and (1, 7)
Slope = Rise/Run = (y₁ - y₀)/(x₁ - x₀)
= (7 - 2)/(1 - 0)
= 5/1
= 5
Let the number of miles traveled with a Blue Cab = x
Let the total cost for using a Blue Cab = y
3. Equation:
y = 5x + 2
2. For traveling a mile with a Blue Cab, the total cost:
y = 5(1) + 2
y = 7
= $7.00
Complete Question:
You are on vacation in Los Angeles, and you need to get around town to different locations. Below are the rates for 2 different cab companies, locally dubbed "The Yellow Cabs" and "The Blue Cabs". Please answer the following questions about this graph.
1. What is the starting cost to get into a Blue Cab?
2. How much does it cost per mile for a Blue Cab?
3. What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Blue Cab?