Question

H shows the ratio of pencils to pens sold at the school bookstore. If the bookstore sells 15 pencils, what is the ratio of pencils to pens sold written as a fraction?

Answer 1

3/2 :)

Explanation:

Answer 2

`Ratio = (3)/(2)`

Explanation:

See attachment for complete question.

We start by solving for the equation of the graph (The graph shows a linear equation)

Represent pencils with x and pen with y

From the graph, we have that:

`(x_1,y_1) = (6,4)`

`(x_2,y_2) = (12,8)`

Solve for slope (m)

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (8 - 4)/(12- 6)`

`m = (4)/(6)`

`m = (2)/(3)`

The equation is calculated using:

`y - y_1 = m(x - x_1)`

Where

`m = (2)/(3)`

`(x_1,y_1) = (6,4)`

`y - 4 = (2)/(3)(x - 6)`

`y - 4 = (2)/(3)x - (2)/(3) * 6`

`y - 4 = (2)/(3)x - (2 * 6)/(3)`

`y - 4 = (2)/(3)x - (12)/(3)`

`y - 4 = (2)/(3)x - 4`

Add 4 to both sides

`y - 4 +4= (2)/(3)x - 4 + 4`

`y= (2)/(3)x`

Now, to the question.

When pencils is 15 implies that

`x = 15`

Solving for x, we have:

`y= (2)/(3)x`

`y= (2)/(3) * 15`

`y= (2* 15)/(3)`

`y= (30)/(3)`

`y= 10`

i.e. Pen = 10

Ratio = x ; y

`x : y = 15 : 10`

Convert to fraction

`(x)/(y) = (15)/(10)`

Simplify

`(x)/(y) = (3)/(2)`

Hence,

`Ratio = (3)/(2)`