Question

try it tomorrow!
given the situation and the horizontal table,
create a vertical table and write the equation for
the situation. then determine if the situation is
an additive or multiplicative relationship.

at a bookstore the total cost of 6 books is
$45.00. each book costs the same amount.

vertical table:

	process

equation:

i know this relationship is \

$$\begin{bmatrix} additive \\\\ multiplicative \\end{bmatrix}$$

bec

cost of books
\

$$\begin{tabular}{|c|c|c|c|c|} \\hline number of books bought & 1 & 2 & 3 & 4 \\\\ \\hline cost (dollars) & 7.50 & 15.00 & 22.50 & 30.00 \\\\ \\hline \\end{tabular}$$

Explanation:

Step1: Find cost per book

$\text{Cost per book} = \frac{\$45.00}{6} = \$7.50$

Step2: Build vertical table

List number of books, cost, and label columns.

	Process
2	2 books cost	$\$15.00$
3	3 books cost	$\$22.50$
4	4 books cost	$\$30.00$
5	5 books cost	$\$37.50$
6	6 books cost	$\$45.00$

Step3: Write the equation

Let $C$ = total cost, $n$ = number of books.
$C = 7.50n$

Step4: Identify relationship type

Check if cost scales with number via multiplication.

Answer:

Vertical Table:

	Process
2	2 books cost	$\$15.00$
3	3 books cost	$\$22.50$
4	4 books cost	$\$30.00$
5	5 books cost	$\$37.50$
6	6 books cost	$\$45.00$

Equation:

$C = 7.50n$ (where $C$ = total cost in dollars, $n$ = number of books)

Relationship:

multiplicative, because the total cost is equal to the number of books multiplied by a constant unit price ($\$7.50$), rather than adding a fixed value to the number of books.