To ship a 2-pound item it costs $6.09. To ship a 7 pound item it costs $8.84. Find the rate of change.
Accepted Solution
A:
Answer:Rate of change = $0.55/poundStep-by-step explanation:Given:To ship a 2 pound item it costs $6.09. To ship a 7 pound item it costs $8.84.So, we can put the data in co-ordinates [tex](x,y)[/tex] such that [tex]x[/tex] co-ordinate represents the mass of the item in pounds and [tex]y[/tex] co-ordinate represents the cost of the item in dollars.So, we will have two points[tex](2,6.09)\ and\ (7,8.84)[/tex]Rate of change is the slope [tex](m)[/tex] of the line joining the points and is given by:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex][tex]m=\frac{8.84-6.09}{7-2}[/tex][tex]m=\frac{2.75}{5}[/tex][tex]m=0.55[/tex]∴ Rate of change = $0.55/pound