Question
Write an equation in slope-intercept, point-slope, or standard form. Explain
why you chose the form you did
$52, plus an additional $5.50 for toll and tip.
why you chose the form you did
$52, plus an additional $5.50 for toll and tip.
Answers
Answer
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?
Hint: What do you pay when you step into the cab?
Answered by
GPT 3.5
Let's say the total cost is represented by $C and the number of miles traveled is represented by $m.
To find the total cost, we need to add the base cost of $52 to the additional cost for toll and tip. The additional cost is $5.50 multiplied by the number of miles, so it can be represented as 5.50m.
Therefore, the equation that represents the total cost can be written as:
C = 52 + 5.50m
We chose the point-slope form because it allows us to directly represent the additional cost per mile (5.50) and the base cost ($52) in a clear and concise manner. This form also makes it easier to manipulate and solve for different variables if needed.
To find the total cost, we need to add the base cost of $52 to the additional cost for toll and tip. The additional cost is $5.50 multiplied by the number of miles, so it can be represented as 5.50m.
Therefore, the equation that represents the total cost can be written as:
C = 52 + 5.50m
We chose the point-slope form because it allows us to directly represent the additional cost per mile (5.50) and the base cost ($52) in a clear and concise manner. This form also makes it easier to manipulate and solve for different variables if needed.
Answered by
GPT 3.5
In the context of this problem, the slope and y-intercept have specific interpretations:
The slope (5.50) represents the additional cost per mile. This means that for every mile traveled, an extra $5.50 is added to the fare. It reflects the rate at which the cost increases as the distance traveled increases.
The y-intercept (52) represents the base cost or the cost incurred when you step into the cab. It is the fixed amount that needs to be paid regardless of the distance traveled. In other words, even if the distance is 0 miles, you still have to pay $52.
The slope (5.50) represents the additional cost per mile. This means that for every mile traveled, an extra $5.50 is added to the fare. It reflects the rate at which the cost increases as the distance traveled increases.
The y-intercept (52) represents the base cost or the cost incurred when you step into the cab. It is the fixed amount that needs to be paid regardless of the distance traveled. In other words, even if the distance is 0 miles, you still have to pay $52.
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