Answer: Relationship between the number of reports and the cost of reports printed is given by
\(2y-x=14\)
Step-by-step explanation:
Let the number of reports be x
Let the cost of report printed be y
Since we have given that for 50 reports he is paid $32
and for 100 reports printed he is paid $57.
So we have (50,32) and (100,57)
To get the relationship between the number of reports x, and the cost y , we find the slope using two points mentioned above.
As we know the formula for two point slope form :
\(m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{57-32}{100-50}\\\\m=\frac{25}{50}\\\\m=\frac{1}{2}\)
Now, using the equation of line using two point slope form:
\(y-32=\frac{1}{2}(x-50)\\\\2(y-32)=x-50\\\\2y-64=x-50\\\\2y-x=-50+64\\\\2y-x=14\\\)
∴ This is the required relationship between the number of reports and the cost of reports printed.
