The price, p, for different size orders of custom printed shirts, n, is given in the table.Can a linear equation be used to model the situation? If it can, what is the slope and the y-intercept of the equation?
Accepted Solution
A:
Answer:linear: slope =10,y-intercept=25Step-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.