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In the rectangular coordinate system above if x = 4.8; then y =

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In the rectangular coordinate system above if x = 4.8; then y =  [#permalink]

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New post 26 Aug 2018, 21:33
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74% (01:17) correct 26% (01:51) wrong based on 39 sessions

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In the rectangular coordinate system above if x = 4.8; then y =


(A) 3.0

(B) 3.2

(C) 3.4

(D) 3.6

(E) 3.8


Attachment:
xy.jpg
xy.jpg [ 11.01 KiB | Viewed 453 times ]

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In the rectangular coordinate system above if x = 4.8; then y =  [#permalink]

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New post 26 Aug 2018, 21:41
Bunuel wrote:
Image
In the rectangular coordinate system above if x = 4.8; then y =


(A) 3.0

(B) 3.2

(C) 3.4

(D) 3.6

(E) 3.8


Attachment:
xy.jpg


Slope=(3-0)/(2-0) since line has points( 3,2) and (0,0) .So slope=3/2
Using slope to find y,
\(y_{2}-y_{1}\div x_{2}-x_{1}\)=(4.8-3)/(y-2)=3/2
Solving we get y=3.2

Ans:B

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Re: In the rectangular coordinate system above if x = 4.8; then y =  [#permalink]

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New post 26 Aug 2018, 21:47
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Bunuel wrote:
Image
In the rectangular coordinate system above if x = 4.8; then y =


(A) 3.0

(B) 3.2

(C) 3.4

(D) 3.6

(E) 3.8


Slope of line through points (0,0) and (3,2)=Slope of line through points (0,0) and (4.8,y)
Or, \(\frac{2}{3}=\frac{y}{4.8}\)
Or, 3y=2*4.8
Or, \(y=\frac{2*4.8}{3}\)=3.2

Ans. (B)
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Re: In the rectangular coordinate system above if x = 4.8; then y =  [#permalink]

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New post 26 Aug 2018, 22:10
Bunuel wrote:
Image
In the rectangular coordinate system above if x = 4.8; then y =


(A) 3.0

(B) 3.2

(C) 3.4

(D) 3.6

(E) 3.8


Attachment:
xy.jpg


Since points (3,2) and (x,y) lie on the same line, we can equate their slopes.
Slope of line between (0,0) and (3,2) = 2/3.
Slope of line between (0,0) and (4.8,y) = y/4.8
Equating the two;

2/3 = y/4.8
1.6(2) = y
3.2 =y

Ans. B
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Re: In the rectangular coordinate system above if x = 4.8; then y = &nbs [#permalink] 26 Aug 2018, 22:10
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