Question

find the missing values in the ratio table. then write the equivalent ratios in the order they appear in the table.

pages	minutes
$\frac{3}{4}$	$square$
$square$	3
5	$square$

$square : square$

$square : square$

$square : square$

$square : square$

Explanation:

Step1: Find page-minute ratio

First, calculate the base ratio from the first row:
Ratio of pages to minutes: $\frac{\frac{1}{4}}{\frac{1}{2}} = \frac{1}{4} \times \frac{2}{1} = \frac{1}{2}$. This means $\text{Pages} = \frac{1}{2} \times \text{Minutes}$, or $\text{Minutes} = 2 \times \text{Pages}$.

Step2: Find missing minutes (row2)

For $\frac{3}{4}$ pages, calculate minutes:
$\text{Minutes} = 2 \times \frac{3}{4} = \frac{6}{4} = \frac{3}{2}$

Step3: Find missing pages (row3)

For 3 minutes, calculate pages:
$\text{Pages} = \frac{1}{2} \times 3 = \frac{3}{2}$

Step4: Find missing minutes (row4)

For 5 pages, calculate minutes:
$\text{Minutes} = 2 \times 5 = 10$

Step5: List equivalent ratios

Order ratios as pages:minutes:

1. $\frac{1}{4}:\frac{1}{2}$
2. $\frac{3}{4}:\frac{3}{2}$
3. $\frac{3}{2}:3$
4. $5:10$

Answer:

Missing table values (in order): $\frac{3}{2}$, $\frac{3}{2}$, $10$
Equivalent ratios:
$\frac{1}{4}:\frac{1}{2}$
$\frac{3}{4}:\frac{3}{2}$
$\frac{3}{2}:3$
$5:10$