Question

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.

Answer 1

Answer:

Rate of change = $0.55/pound

Step-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 $(x,y)$ such that $x$ co-ordinate represents the mass of the item in pounds and $y$ co-ordinate represents the cost of the item in dollars.

So, we will have two points

$(2,6.09)\ and\ (7,8.84)$

Rate of change is the slope $(m)$ of the line joining the points and is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{8.84-6.09}{7-2}$

$m=\frac{2.75}{5}$

$m=0.55$

∴ Rate of change = $0.55/pound