Write an equation for the line that passes through the points (0,5) and (4,12). Use any valid form of a linear line.
b)You are taking a Yellow Cab in St. Paul from Como Park to the State Capitol (a 3.2 mile trek). When you get in, you are charged $6.90 for the likely amount of time spent in the cab. They also charge $2.50 per mile. What will be your fare at the end, without tips? YOU MUST WRITE A LINEAR EQUATION THAT RELATES THE FARE TO THE DISTANCE TRAVELED, AND SOLVE THAT EQUATION.
WERE IS THE FREAKING GRAPH we cant help you without it, even less when you just want answers!!!
there is not graph...
a) To find the equation of the line that passes through the points (0,5) and (4,12), we can use the formula for the slope-intercept form of a linear equation, which is:
y = mx + b
First, we need to find the slope (m) of the line. The slope is given by the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0,5) and (4,12), we can substitute the coordinates into the formula:
m = (12 - 5) / (4 - 0)
m = 7 / 4
Now that we have the slope (m), we can use one of the given points to find the y-intercept (b). Let's use the point (0,5):
5 = (7 / 4) * 0 + b
5 = b
Therefore, the linear equation that passes through the points (0,5) and (4,12) is:
y = (7 / 4) x + 5
b) To find the fare for the Yellow Cab ride, we can use the formula for a linear equation that relates the fare (F) to the distance traveled (D), given the charges for time spent in the cab and the cost per mile.
Let's assume the fare at the end is represented by F, and the distance traveled is represented by D. Based on the given information, we can write the following equation:
F = 2.50D + 6.90
The fare (F) is calculated by multiplying the distance traveled (D) by the cost per mile (2.50), and then adding the base fare for time spent in the cab (6.90).
To solve the equation for the fare at the end, plug in the distance traveled (D = 3.2 miles) into the equation:
F = 2.50 * 3.2 + 6.90
F = 8.00 + 6.90
F = $14.90
Therefore, the fare at the end, without tips, for a 3.2-mile ride in the Yellow Cab from Como Park to the State Capitol in St. Paul, would be $14.90.