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

Answer:

$Ratio = \frac{3}{2}$

Step-by-step 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)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{8 - 4}{12- 6}$

$m = \frac{4}{6}$

$m = \frac{2}{3}$

The equation is calculated using:

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

Where

$m = \frac{2}{3}$

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

$y - 4 = \frac{2}{3}(x - 6)$

$y - 4 = \frac{2}{3}x - \frac{2}{3} * 6$

$y - 4 = \frac{2}{3}x - \frac{2 * 6}{3}$

$y - 4 = \frac{2}{3}x - \frac{12}{3}$

$y - 4 = \frac{2}{3}x - 4$

Add 4 to both sides

$y - 4 +4= \frac{2}{3}x - 4 + 4$

$y= \frac{2}{3}x$

Now, to the question.

When pencils is 15 implies that

$x = 15$

Solving for x, we have:

$y= \frac{2}{3}x$

$y= \frac{2}{3} * 15$

$y= \frac{2* 15}{3}$

$y= \frac{30}{3}$

$y= 10$

i.e. Pen = 10

Ratio = x ; y

$x : y = 15 : 10$

Convert to fraction

$\frac{x}{y} = \frac{15}{10}$

Simplify

$\frac{x}{y} = \frac{3}{2}$

Hence,

$Ratio = \frac{3}{2}$

Answer 2

Answer:

3/2 :)

Step-by-step explanation: