Question

I am desperate! 95 points for correct answer!!!!!

1543 pages is $77.40, 7361 pages is $368.30 using a linear equation with $250 in budget how many pages can you print. Please write steps!

Answer 1

4995 pages

Explanation:

The question is asking you to find the equation of a straight line that passes through two points

Let x = the number of pages

and y = the cost

Then the coordinates of the two points are (1543, 77.40) and (7361, 368.30).

(a) Calculate the slope of the line

In other words, the cost is 5¢ per page.

(b) Calculate the y-intercept

(c) Write the equation for the line

y = 0.05x + 0.25

That is, the cost is 25¢ plus 5¢ per page

(d) Calculate the pages you can print for $250

The figure below shows the graph of your equation, with slope 0.05 and y-intercept at (0,0.25).

It looks as if you could print 5000 pages, but you must pay that 25¢ (5 pages worth) up-front, so you can print only 4995.

Answer 2

`\boxed{\text{4995 pages}}`

Explanation:

The question is asking you to find the equation of a straight line that passes through two points

Let x = the number of pages

and y = the cost

Then the coordinates of the two points are (1543, 77.40) and (7361, 368.30).

(a) Calculate the slope of the line

`\begin{array}{rcl}m & = & (y_(2) - y_(1))/(x_(2) - x_(1))\\\\ & = & (368.30 - 77.40)/(7361 - 1543)\\\\& = & (290.90)/(58.18)\\\\ & = & 0.05000\\\end{array}`

In other words, the cost is 5¢ per page.

(b) Calculate the y-intercept

`\begin{array}{rcl}y & = & mx + b\\368.30 & = & 0.05 * 7361 + b\\368.30 & = & 368.05 + b\\b & = & 0.25\\\end{array}`

(c) Write the equation for the line

y = 0.05x + 0.25

That is, the cost is 25¢ plus 5¢ per page

(d) Calculate the pages you can print for $250

`\begin{array}{rcl}y & = & 0.05x + 0.25\\250 & = & 0.05x + 0.25\\249.75 & = & 0.05x\\x & = & 4995\\\end{array}\\\text{ You can print }\boxed{\textbf{4995 pages}}`

The figure below shows the graph of your equation, with slope 0.05 and y-intercept at (0,0.25).

It looks as if you could print 5000 pages, but you must pay that 25¢ (5 pages worth) up-front, so you can print only 4995.