Question

A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks.

Answer 1

Answer:

y = 0.026x – 0.05

Step-by-step explanation:

When the number of pages increases by 100, the cost goes up 2.60, so the price per page is 0.026, and the cost for x pages is 0.026x.

For the first 50 pages, the cost is only 1.25, which is less than 1.30 by 0.05, so the cost function is ...

... y = 0.026x - 0.05

Answer 2

Answer:

Option C.

Step-by-step explanation:

Let y is the cost of recent yearbooks and x is the number of pages.

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Choose any two ordered pairs from the giver table.

Consider the line passes through the points (50,1.25) and (100,2.55). So, the equation of line is

$y-1.25=\frac{2.55-1.25}{100-50}(x-50)$

$y-1.25=\frac{1.3}{50}(x-50)$

$y-1.25=0.026(x-50)$

Using distributive property, we get

$y-1.25=0.026(x)+0.026(-50)$

$y-1.25=0.026x-1.3$

Add 1.25 on both sides.

$y-1.25+1.25=0.026x-1.3+1.25$

$y=0.026x-0.05$

The equation of line is y=0.026x-0.05. Therefore, the correct option is C.