Question

date
kelly sells books to the used bookstore. she earns $0.50 for every book that she sells to the bookstore.
a. complete the table to model the ratio relationship between the number of books that kelly sells and the amount of money that she earns.

number of books	calculation	amount of money (dollars)
2	$2 \times 0.50$	$1.00$
4	$4 \times 0.50$	$2.00$
5	$5 \times 0.50$	$2.50$
8	$8 \times 0.50$	$4.00$
12	$12 \times 0.50$	$6.00$

write an equation that represents the relationship. define the variables.
$m = 0.50b$
b represents the number of books kelly sells.
m represents the amount of money kelly earns in dollars

Explanation:

Step1: Verify table calculations

For each number of books $b$, calculate earnings as $b \times 0.50$:

• $1 \times 0.50 = 0.50$
• $2 \times 0.50 = 1.00$
• $4 \times 0.50 = 2.00$
• $5 \times 0.50 = 2.50$
• $8 \times 0.50 = 4.00$
• $12 \times 0.50 = 6.00$

Step2: Validate the equation

Define variables:
Let $b$ = number of books Kelly sells,
Let $m$ = total earnings (dollars).
Earnings equal $0.50$ per book, so the relationship is $m = 0.50b$.

Answer:

Completed Table:

Number of Books	Calculation	Amount of Money (dollars)
2	$2 \times 0.50$	$1.00$
4	$4 \times 0.50$	$2.00$
5	$5 \times 0.50$	$2.50$
8	$8 \times 0.50$	$4.00$
12	$12 \times 0.50$	$6.00$

Equation and Variables:

Let $b$ = the number of books Kelly sells,
Let $m$ = the total amount of money Kelly earns (in dollars).
Equation: $m = 0.50b$