5. A cab company charges $12 per mile for a lift to the airport.
What change would the company make to their charges to make this a non proportional situation?
(1 point)
Responses
No changes are needed.
No changes are needed.
Charge $4 per mile instead of $12
Charge $4 per mile instead of $12
Charge $15 per mile instead of $12
Charge $15 per mile instead of $12
Charge a flat rate of $20 and then $12 per mile
Charge a flat rate of $20 and then $12 per mile
To make this a non-proportional situation, the company would need to charge a flat rate of $20 and then $12 per mile.
4. Given the table for x, time in minutes, and y, distance traveled:
x: time 8 5 7 2 9
y: distance 664 415 581 166 747
(4 points)
a. Every minute
meters are traveled.
b. Write an equation to show the relationship between x and y:
.
c. This relationship is
because the y-intercept is
.
Question 5
5. A cab company charges $12 per mile for a lift to the airport.
a. Every minute, 83 meters are traveled (average distance traveled per minute: 664+415+581+166+747 = 2573 meters / 5 minutes = 514.6 meters; rounded to the nearest meter: 515 meters; 515 meters / 5 minutes = 83 meters per minute).
b. The equation to show the relationship between x (time) and y (distance traveled) is: y = 83x.
c. This relationship is linear because the y-intercept is 0 (when x = 0, y = 0).
1. Given the table for x, sweater knitted, and y, money earned:
x: # of sweaters 7 6 2 9 3
y: $ earned 392 336 112 504 168
(4 points)
a. Every sweater knitted is
dollars earned.
b. Dollars/1 sweater is called a
.
c. This relationship is
because 0 sweaters knitted is
dollars earned.
a. Every sweater knitted is $56 dollars earned (average amount earned per sweater: (392+336+112+504+168) dollars / 5 sweaters = 1512 dollars / 5 sweaters = $302.40/sweater; rounded to the nearest dollar: $302/sweater, so $302/5 = $60.40, rounded to the nearest dollar: $60 dollars/sweater; $60/sweater * 7 sweaters = $420 dollars, rounded to the nearest dollar: $56 dollars/sweater).
b. Dollars/1 sweater is called a "unit rate".
c. This relationship is linear because 0 sweaters knitted is not necessarily 0 dollars earned (y-intercept is not 0). In this case, when 0 sweaters are knitted, $112 is earned.
The change that the company would make to their charges to make this a non-proportional situation is to charge a flat rate of $20 and then $12 per mile.
To determine the change that would make this a non-proportional situation, we need to consider what makes a situation proportional. In a proportional situation, the ratio between two quantities remains constant. In this case, the quantities are the distance traveled (in miles) and the amount charged (in dollars).
The given information states that the cab company charges $12 per mile for a lift to the airport. This means that if we double the distance traveled, the amount charged is also doubled, making it a proportional situation.
To make this a non-proportional situation, we need to break the constant ratio between distance and amount charged. Therefore, we should look for an answer option that changes the relationship between the two quantities.
Looking at the response options:
1. No changes are needed - This would keep the ratio and maintain a proportional situation.
2. Charge $4 per mile instead of $12 - This reduces the amount charged per mile, but still maintains a constant ratio and hence is still a proportional situation.
3. Charge $15 per mile instead of $12 - This increases the amount charged per mile, but still maintains a constant ratio and is still a proportional situation.
4. Charge a flat rate of $20 and then $12 per mile - This introduces a flat rate charge, which changes the relationship between distance and amount charged. Even though $12 per mile is still being charged, the flat rate of $20 adds a fixed cost regardless of the distance traveled. This breaks the constant ratio and makes it a non-proportional situation.
Therefore, the correct answer is "Charge a flat rate of $20 and then $12 per mile."