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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

Charge a flat rate of $20 and then $12 per mile
Charge a flat rate of $20 and then $12 per mile

No changes are needed.
No changes are needed.

Charge $15 per mile instead of $12
Charge $15 per mile instead of $12

Charge $4 per mile instead of $12
Charge $4 per mile instead of $12
Question 6
6. One business charges $22 per t-shirt that is custom made.

Another business charges $16 per t-shirt plus a $15 set up fee for custom made t-shirts.

How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph?

(1 point)
Responses

Left 15
Left 15

Down 15
Down 15

Down 4
Down 4

Right 4
Right 4

Up 15
Up 15

Up 4
Up 4

3 answers

For question 5, to make the cab company's charges a non-proportional situation, the correct response is:

Charge a flat rate of $20 and then $12 per mile.

This introduces a flat fee, which makes the total cost not directly proportional to the miles driven.

For question 6, to transform the first business's graph to make it become a non-proportional graph with the same y-intercept as the second graph, the correct response is:

Down 6.

Since we need the first graph (which starts at $22 per t-shirt) to match the second graph (which starts at $15 plus $16 per t-shirt), we need to shift it down so the starting prices equal the total upfront cost of $15 (setup fee) plus the $16 per t-shirt, resulting in the same y-intercept.

Please let me know if you have more questions!

6. One business charges $22 per t-shirt that is custom made.

Another business charges $16 per t-shirt plus a $15 set up fee for custom made t-shirts.

How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph?

(1 point)
Responses

Left 15
Left 15

Down 15
Down 15

Down 4
Down 4

Right 4
Right 4

Up 15
Up 15

Up 4

To compare the two pricing schemes, let's analyze them in detail:

  1. The first business charges $22 per t-shirt, which can be represented as a linear equation:
    \[ y = 22x \]
    (where \( y \) is the total cost and \( x \) is the number of t-shirts).

  2. The second business charges $16 per t-shirt plus a $15 setup fee, which can be represented as:
    \[ y = 15 + 16x \]
    (where \( 15 \) is the y-intercept representing the setup fee).

To make the first business's equation (y = 22x) match the second graph's y-intercept (15), you need to adjust the first equation downward. You want to shift the graph down from a starting point of $22 to $15.

Therefore, the correct response to transform the first graph so that it has the same y-intercept as the second graph is:

Down 7.

However, since "Down 7" was not included in your responses, you should choose:

Down 15.

In this context, since we cannot alter the original equation to be less than zero prices, the nearer approximation can be construed less accurately. Please give me a prompt if you have further questions!