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705-805 (Hard)|   Graphs|            
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GMATCoachBen
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In New Zealand, the grape is a long-established crop, but the truffle 12 Feb 2024, 14:50
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Dropdown 1: 5th Dropdown 2: 10,000
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75% (hard)

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61% (02:33) correct 39% (02:57) wrong based on 4074 sessions

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In New Zealand, the grape is a long-established crop, but the truffle—an edible fungus that grows on the roots of certain trees—became a commercial crop in the 1980s. The graph represents projected cumulative net income for grape and truffle crops through the end of the year, in thousands of New Zealand dollars per hectare (NZ$1,000/ha), for each of the first 11 years since planting. Cumulative net income is equal to total revenue from crop sales for the years since planting minus total investment costs over those same years.

From each drop-down menu, select the option that creates the most accurate statement about these projections based on the given information.

Cumulative net income from truffles is least at the end of the year since planting.

If cumulative net income for grapes continues to grow at the same rate as in years 8 through 11 since planting, the cumulative net income from grapes for the 12th year since planting will be approximately NZ$ per hectare.­

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ID: 100427

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New Zealand Grape and Truffle Crops.png
New Zealand Grape and Truffle Crops.png [ 103.37 KiB | Viewed 22909 times ]
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In New Zealand, the grape is a long-established crop, but the truffle 12 Feb 2024, 14:55
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­Video solution here:



I mentioned this other similar problem (Summer Olympics): 




 ­
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In New Zealand, the grape is a long-established crop, but the truffle 09 Dec 2024, 00:29
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GMATCoachBen

If I pick the values of this slope as 7 and -7
Then 14/3 = X-7 /1
X=35/3=11.66 seems closer to 13.

If I pick the values of this slope as 6 and -6
It’s 10.
But, from observation it seems more toward 7.

Is my method wrong or it is a close question?
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In New Zealand, the grape is a long-established crop, but the truffle 27 Oct 2024, 11:03
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Thanks for the detailed solution. I am a little bit confused with the word "since planting". I thought that the growth rate from year 8 to 11 (which is approximately 4/year) would be applicable since planting. If we apply this growth rate then after 12 years, the cumulative gain will be 4*12-20=28, which is not in the option. But the phrase "since planting" seems confusing to me. Would be please make it clear?
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In New Zealand, the grape is a long-established crop, but the truffle 27 Feb 2025, 08:26
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Adarsh_24
GMATCoachBen

If I pick the values of this slope as 7 and -7
Then 14/3 = X-7 /1
X=35/3=11.66 seems closer to 13.

If I pick the values of this slope as 6 and -6
It’s 10.
But, from observation it seems more toward 7.

Is my method wrong or it is a close question?
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Agreed.

I went the all-visual way. If you visually extend that straight graph further up till the 12 yr vertical line would apprently intersect, it clearly seems beyond 10,000.
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In New Zealand, the grape is a long-established crop, but the truffle 11 Aug 2025, 15:00
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How do we solve the first questin
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cheshire
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In New Zealand, the grape is a long-established crop, but the truffle 21 Aug 2025, 11:24
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Look for the X value for which the Y value for truffles is the lowest (5).
kayarat600
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In New Zealand, the grape is a long-established crop, but the truffle 26 Sep 2025, 21:21
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It's always essential to focus on exactly what they're asking for:

Cumulative net income from truffles is least at the end of the [color=#333333]_____ year since planting.[/color]

So, we just need to see where the blue line for truffles is at a minimum. That's year 5.
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In New Zealand, the grape is a long-established crop, but the truffle 26 Sep 2025, 21:35
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Adarsh_24

Yes, it is pretty close.

As shown in my video, I prefer to just visualize a straight line continuing up from those 4 points, rather than do the calculation.

If you were to draw the 5th point at 13 instead of 10, the line would clearly not be straight.




It's harder to read the individual values for the points, but I think it's a bit of a stretch to call this value in the screenshot below -7.

It seems quite close to the midpoint between the grid lines.

-6 is more accurate.




Adarsh_24
GMATCoachBen

If I pick the values of this slope as 7 and -7
Then 14/3 = X-7 /1
X=35/3=11.66 seems closer to 13.

If I pick the values of this slope as 6 and -6
It’s 10.
But, from observation it seems more toward 7.

Is my method wrong or it is a close question?
Show more
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