Sean has 4 science fiction books for every 3 sports books. Which graph represents his book collections? (where would the 2 dots be marked)
Answers
Step-by-step explanation:
Given : Sean has 4 science fiction books for every 3 sports books.
Solution :
Since Sean has 4 science fiction books for every 3 sports books.
The ratio will be 4:3
So, when he has 6 sports books
So, no. of science books (x) he has:
\frac{4}{3} =\frac{x}{6}
3
4
=
6
x
\frac{4*6}{3} =x
3
4∗6
=x
\frac{24}{3} =x
3
24
=x
8 =x8=x
so, for every 6 sports books he has 8 science books
Thus , Sean has 4 science fiction books for every 3 sports books.
⇒(x_{1} ,y_{1})=(3,4)(x
1
,y
1
)=(3,4)
And he has 8 science books for every 6 sports books
⇒(x_{2} ,y_{2}) =(6,8)(x
2
,y
2
)=(6,8)
So, using two point from we will form the equation :
y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} (x-x_{1})y−y
1
=
x
2
−x
1
y
2
−y
1
(x−x
1
)
y-4=\frac{8-4}{6-3} (x-3)y−4=
6−3
8−4
(x−3)
y-4=\frac{4}{3} (x-3)y−4=
3
4
(x−3)
3(y-4)=4(x-3)3(y−4)=4(x−3)
3y-12=4x-123y−12=4x−12
3y=4x3y=4x
4x-3y=04x−3y=0
Hence the required equation is 4x-3y=04x−3y=0
Hence using desmos we plotted the graph
The required graph is attached
