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

Question

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 .

littlegirl · Answer

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

KarishmaB · Answer

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)

peachfuzz · Answer

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

WaterFlowsUp · Answer

i would do lime this
x/a+y/b=1
substitute values...

mvictor · Answer

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)/  = 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.

Bunuel · Answer

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)

BrainLab · Answer

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

EMPOWERgmatRichC · Answer

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:  A

GMAT assassins aren't born, they're made,
Rich

bumpbot · Answer

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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

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