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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.

 Mar 31, 2015

Best Answer 

 #1
avatar+118609 
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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.

 Apr 1, 2015
 #1
avatar+118609 
+10
Best Answer

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.

Melody Apr 1, 2015

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