Question

Sean has 4 science fiction books for every 3 sports books. Which graph represents his book collection?

Answer 1

Answer:

c i just took the tst

Step-by-step explanation:

Answer 2

Answer:

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:

$\frac{4}{3} =\frac{x}{6}$

$\frac{4*6}{3} =x$

$\frac{24}{3} =x$

$8 =x$

so, for every 6 sports books he has 8 science books

Thus , Sean has 4 science fiction books for every 3 sports books.

⇒$(x_{1} ,y_{1})=(3,4)$

And   he has 8 science books for every 6 sports books

⇒$(x_{2} ,y_{2}) =(6,8)$

So, using two point from we will form the equation :

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} (x-x_{1})$

$y-4=\frac{8-4}{6-3} (x-3)$

$y-4=\frac{4}{3} (x-3)$

$3(y-4)=4(x-3)$

$3y-12=4x-12$

$3y=4x$

$4x-3y=0$

Hence the required equation is $4x-3y=0$

Hence using desmos we plotted the graph

The required graph is attached