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The line shown passes through the point (A, 30). Which of the followi

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The line shown passes through the point (A, 30). Which of the followi [#permalink]

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New post 15 Mar 2015, 23:02
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The line shown passes through the point (A, 30). Which of the following is closest to the value of A?

A. 58
B. 59
C. 60
D. 61
E. 62


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Re: The line shown passes through the point (A, 30). Which of the followi [#permalink]

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New post 16 Mar 2015, 03:34
1
Bunuel wrote:
Attachment:
ppocg_img1.png
The line shown passes through the point (A, 30). Which of the following is closest to the value of A?

A. 58
B. 59
C. 60
D. 61
E. 62


Kudos for a correct solution.

The line ax+b=y passes ( -2;0 ) and (0;1) then the line: (1/2)*x +1 = y
The line passes ( A;30) then A/2+1 =30 => A=58 the answer is A
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Re: The line shown passes through the point (A, 30). Which of the followi [#permalink]

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New post 16 Mar 2015, 21:44
1
Bunuel wrote:
Attachment:
ppocg_img1.png
The line shown passes through the point (A, 30). Which of the following is closest to the value of A?

A. 58
B. 59
C. 60
D. 61
E. 62


Kudos for a correct solution.


From the diagram, you see that when the y co-ordinate increases by 1 (from (-2, 0) to ( 0 , 1)), the x co-ordinate increases by 2. So if the y co-ordinate will increase by another 29 (to be at 30), the x co-ordinate will increase by 29*2 = 58. So the line must pass through (58, 30)

Answer (A)
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Re: The line shown passes through the point (A, 30). Which of the followi [#permalink]

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New post 17 Mar 2015, 11:44
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1
Looking at the picture, the slope is 1/2.

y=(1/2)x + b
0=(1/2)(-2)+b
b=1

y=(1/2)x+1
30=(1/2)x+1
x=58

Answer: A
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Re: The line shown passes through the point (A, 30). Which of the followi [#permalink]

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New post 17 Mar 2015, 13:54
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i would do lime this
x/a+y/b=1
substitute values...
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Re: The line shown passes through the point (A, 30). Which of the followi [#permalink]

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New post 17 Mar 2015, 14:42
1
let's see the coordinates of the 2 points:
when x = 0, y = 1. This is y intercept, or b
when y = 0, x = -2. this is x intercept.

from coordinates of these two points, we can solve for slope of the line.
(1-0)/[0-(-2)] = 1/2

now, we can write the equation of the line
y = x/2 +1
we are given the coordinates of y (30)
let's plug in and solve for x:
30 = x/2 +1
29 = x/2
29*2 = x
x = 58.

Answer choice A) 58.
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Re: The line shown passes through the point (A, 30). Which of the followi [#permalink]

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New post 23 Mar 2015, 04:03
Bunuel wrote:
Image
The line shown passes through the point (A, 30). Which of the following is closest to the value of A?

A. 58
B. 59
C. 60
D. 61
E. 62


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:

The line appears to have a slope of ½ and y-intercept of 1, so its equation would be

y = 0.5x + 1

Plug in A for x and 30 for y.

30 = 0.5A + 1

29 = 0.5A

58 = A

Answer = (A)
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: The line shown passes through the point (A, 30). Which of the followi [#permalink]

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New post 03 Dec 2015, 06:25
Bunuel wrote:
Attachment:
ppocg_img1.png
The line shown passes through the point (A, 30). Which of the following is closest to the value of A?

A. 58
B. 59
C. 60
D. 61
E. 62


Kudos for a correct solution.


Let's write down the points from the picture: (0,1) (-2,0)
1. We can find an equation with 2 points given: \(\frac{y-1}{x-0}= \frac{1-0}{0-(-2)}\) --> \(y=\frac{1}{2}x+1\)
2. Insert (a,30) in the equation: \(30 = \frac{1}{2}x+1\), and we'll get A=58 which is Answer A
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Re: The line shown passes through the point (A, 30). Which of the followi [#permalink]

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New post 17 Feb 2017, 12:31
1
Hi All,

This prompt can be solved in a variety of different ways, depending on which type of math you find easiest/fastest. There's also a relatively easy 'brute force' approach that you can use.

From the picture, we can see that the line follows a pattern - the line "goes up 1 for every 2 that you go to the right"...

(-2, 0)
(0, 1)
(2, 2)
(4, 3)
Etc.

We're asked to find the value of A at the point (A, 30). We can "count up" from (0,1).... 1 to 30 is 29 "steps" and 29(2) = 58.

Final Answer:

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Re: The line shown passes through the point (A, 30). Which of the followi   [#permalink] 17 Feb 2017, 12:31
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