A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks.
Number of pages | 50 | 100 | 150 | 200 |
cost | 1.75 | 2.55 | 3.35 | 4.15 |
Which equation gives the cost, y, in terms of the number of pages, x?
A. y=0.016x+0.95
B. y=0.016x+1.75
C. y=0.016x+48.25
D. y=52.6x+0.95
The costs (y) are going up by 0.80 andthe pages (x) is going up by 50
so the gradient is rise /run = change in y/change in x = 0.8/50 = 0.016
so
y= 0.016x + something
Substitute any of the known values into the equation to find what that something (b) (yintercept) is.
Check by subing in a different pair and checking that it works.
You can post your working if you are not sure that your understand.
the only thing I understood about that answer is that D is definitely not the answer
One known value is
y= 2.55 when x=100
I have told you that y= 0.016x + something
y= 0.016x+b
so
Sub in your known values of x and y to find out the value of b
(which is the y intercept or the cost of prinint irrespective of the number of pages.)
2.55 = 0.016*100 +b
Now you can solve this to get the missing b value.