A shipping center, N-Advance, has 320 items from premium customers that are guaranteed an early delivery on a particular day. Additionally, for every 20 items that will be delivered for standard customers, three of those items are expected to be delivered early. Part A: Write an equation to represent the situation. Identify the meaning of all variables used. Part B: What would an increase in the y-intercept represent? Part C: Create a second equation for a shipping center without premium customers, within the same company, with a higher proportion of total deliveries to early deliveries. Does this equation have the same intercept and slope? Explain your reasoning.
Hi siera, it has been nice seeing you on the forum :)
You question is open to different interpretaions.
A)
I would let y = the number of early deliveries and x be the number of standard customers (orders)
$$y=320+\frac{3x}{20}$$
B)
More y means more ealy deliveries, this would happen if there were more standard cutomer (orders)
C)
y= kx where k can be any number greater that $${\frac{{\mathtt{3}}}{{\mathtt{20}}}}$$
the slope for this line would be steeper than the other one because the gradient is bigger.
Hi siera, it has been nice seeing you on the forum :)
You question is open to different interpretaions.
A)
I would let y = the number of early deliveries and x be the number of standard customers (orders)
$$y=320+\frac{3x}{20}$$
B)
More y means more ealy deliveries, this would happen if there were more standard cutomer (orders)
C)
y= kx where k can be any number greater that $${\frac{{\mathtt{3}}}{{\mathtt{20}}}}$$
the slope for this line would be steeper than the other one because the gradient is bigger.