a. For the first company, express in words the amount the cab company
charges per ride and per mile.
Charge per ride: $3 per mile $0.50
b. Write an equation in slope-intercept, point-slope, or standard form. Explain why you chose the form you did.
y=3+0.50?
c. What do the slope and y-intercept mean in the context of this problem?
Hint: What do you pay when you step into the cab?
'm not sure how to do b or c I could use all the help I could get
b. y=3+0.5x
put this in desmos if you want to see a quick graph. The x represents the miles you travel, and the y is the total price.
So I'm trying to find what y is?
Never mind I think I understand thank you
a. To express the amount the cab company charges per ride and per mile, we can use the given information. According to the question, the cab company charges $3 per ride and $0.50 per mile. This means that regardless of the distance traveled, there will always be a $3 charge for every ride in the cab. Additionally, for every mile traveled, there will be an additional charge of $0.50.
b. To write an equation that represents the cost of a cab ride in a specific form (slope-intercept, point-slope, or standard form), we need to choose the most appropriate form. In this case, we can use the slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept.
To determine the equation, we can assign variables:
- "y" represents the total cost of the ride.
- "x" represents the number of miles traveled.
Since we already know the charges per ride and per mile, the equation in slope-intercept form becomes:
y = 3 + 0.50x
In this equation, the slope (0.50) represents the charge per mile, indicating that for every mile traveled, the cost increases by $0.50. The y-intercept (3) represents the base charge when stepping into the cab, meaning that regardless of the distance traveled, there will be a $3 charge upon entering the cab.
c. In the context of this problem:
- The slope (0.50) represents the additional charge per mile. It signifies that for each mile traveled, the cost increases by $0.50. If you were to travel 1 mile, the fare would increase by $0.50. The slope gives a measure of the amount the cost increases for each additional mile traveled.
- The y-intercept (3) represents the base charge when entering the cab. It signifies that even if you don't travel any distance, there will still be a charge of $3. This amount covers the initial fare for entering the cab.
An equation helps provide a clear representation of the relationship between the number of miles traveled and the cost of the cab ride. By analyzing the slope and y-intercept, we can better understand the meaning of each component within this context.