To find another point on the coordinate plane that represents the same rate of change as (0,10), we need to remember that the rate of change is given by the slope of the line.
We know that the company charges a flat rate of $10 for shipping, so the slope of the line is equal to the price of one shirt, which is $16. Therefore, the slope of the line is:
slope = Δy / Δx = (total cost at x=1 - total cost at x=0) / (1 - 0) = ($16 + $10) - $10 / 1 = $16
This means that for each additional shirt ordered, the total cost increases by $16. To find another point on the coordinate plane that represents this rate of change, we can move one unit to the right from the point (0,10), since the slope tells us that the total cost increases by $16 for each additional shirt ordered.
So, if we order one shirt, the total cost will be:
total cost = $16(shirts) + $10(shipping) = $26
This gives us the point (1,26) on the coordinate plane, which represents the same rate of change as (0,10)