Answer:
linear: slope =10,y-intercept=25
Step-by-step explanation:
Yes, a linear equation can be used to model the situation because for any two given pints, there is a constant value of 10 for change in (p) over change in (n).
The slope is given by:
[tex]m=\frac{Change\:in\:p}{Change\:in\:n}[/tex]
Using (1,35) and (5,75) from the table, we have:
[tex]m=\frac{75-35}{5-1}[/tex]
[tex]m=\frac{40}{4}=10[/tex]
Therefore the slope is 10.
Using the formula
[tex]y=mx+b[/tex], and the point (1,35) we have:
[tex]35=10(1)+b[/tex]
[tex]\implies 35-10=b[/tex]
[tex]\implies 25=b[/tex]
Therefore the y-intercept is 25.
