Question

Jessica is running for student council president. She goes to a print shop to print color copies of her campaign fliers. There is a linear relationship between the number of color copies Jessica prints and the total cost of the print job. 4 8 12 16 20 24 28 32 36 40 $4 $8 $12 $16 $20 $24 $28 $32 $36 $40 x y Number of color copies Total cost ($) Describe the rate of change for this relationship. The total cost of the print job increases increases decreases by $1.25 $1.20 $1.25 $1.50 $16.00 $20.00 $24.00 per color copy.

Answer 1

To analyze the linear relationship between the number of color copies (x) and the total cost of the print job (y), we can look at the data provided.

The values you've given show that as the number of color copies increases, the total cost also increases in a consistent manner:

- For 4 copies, the cost is $4.
- For 8 copies, the cost is $8.
- For 12 copies, the cost is $12.
- For 16 copies, the cost is $16.
- For 20 copies, the cost is $20.
- For 24 copies, the cost is $24.
- For 28 copies, the cost is $28.
- For 32 copies, the cost is $32.
- For 36 copies, the cost is $36.
- For 40 copies, the cost is $40.

From this data, we can observe that:

- The cost for each 4 additional copies increases by $4.
- Therefore, the rate of change (which is the slope of this linear relationship) can be calculated as:

\[
\text{Rate of change} = \frac{\Delta y}{\Delta x} = \frac{4}{4} = 1
\]

So, for every additional color copy Jessica prints, the total cost increases by $1.

In conclusion, the total cost of the print job increases by **$1 per color copy**.