AP GP series (1 Viewer)

[enigma_1]

What process do I use for c? thanks

Olim, Pixi, Thi (pronounced ‘tea’), Sid and Nee work in the sales division of a calculator
company. Together they find that sales of scientific calculators are dropping by 150 per
month, while sales of graphics calculators are increasing by 150 per month.
(a) Current sales of all calculators total 20 000 per month, and graphics calculators account
for 10% of sales. How many graphics calculators are sold per month?
(b) How many more graphics calculators will be sold per month by the sales team six
months from now?
(c) Assuming that current trends continue, how long will it be before all calculators sold
by the company are graphics calculators?


How does the diagram look like for this question down?

10. A farmhand is filling a row of feed troughs with grain. The distance between adjacent
troughs is 5 metres, and he has parked the truck with the grain 1 metre from the closest
trough. He decides that he will fill the closest trough first and work his way to the far
end. Each trough requires three bucketloads to fill it completely .
(a) How far will the farmhand walk to fill the 1st trough and return to the truck? How
far for the 2nd trough? How far for the 3rd trough?
(b) How far will the farmhand walk to fill the nth trough and return to the truck?
(c) If he walks a total of 156 metres to fill the furthest trough, how many feed troughs
are there?
(d) What is the total distance he will walk to fill all the troughs?

 

[kassadin]

AP GP ftw, lich bane procs op

 

[bokat]

For part c) of the first question: The sale of the 1st month of graphics scientific calculators is 2000(10% of 20000). It goes up by 150 so d=150.
T(n)=a+(n-1)xd We want T(n) to be 20000 so 20000=2000+(n-1)x150 will give n=121.
For question 10 (or the second question you posted) :
Mark a point representing the truck on the left end of the paper, mark another point to the right with a roughly scaled distance of 1m to represent the 1st trough , then a 3rd point with a roughly scaled distance of 5m from the 1st trough to represent the second trough and so on.For the part a of question you will have : 1x2x3=6m, multiplied by 2 to account for the return trip and by 3 as he needs to travel 3 times. For the part b of the question the distance traveled to reach the nth trough is (1+(n-1)5) again we need to multiply it by 2x3 resulting in 30n-24 to fill the nth trough.

 

[braintic]

Could someone move this to the 2 unit forum where it belongs.