Question

b. complete the table to show the number of pages noah reads in the first 7 days.
number of days, d | 1 | 2 | 3 | 4 | 5 | 6 | 7
--- | --- | --- | --- | --- | --- | --- | ---
calculation | 1·20 | 2·20 | 3·20 | 4·20 | 5·20 | 6·20 | 7·20
number of pages, p | 20 | 40 | 60 | 80 | 100 | 120 | 140
c. what is the value of the ratio of the number of pages to the number of days?
d. write an equation to represent the ratio relationship between the number of pages noah reads and the number of days he reads.

Explanation:

Step1: Verify completed table

The table is already filled correctly:

Number of Days, $d$	Calculation	Number of Pages, $p$
2	$2 \cdot 20$	40
3	$3 \cdot 20$	60
4	$4 \cdot 20$	80
5	$5 \cdot 20$	100
6	$6 \cdot 20$	120
7	$7 \cdot 20$	140

Step2: Find pages-to-days ratio

Take any pair of values, e.g., $d=1$, $p=20$.
$\text{Ratio} = \frac{\text{Number of Pages}}{\text{Number of Days}} = \frac{p}{d}$
$\frac{20}{1} = 20$

Step3: Write relationship equation

From the table, $p = 20d$.

Answer:

b. The completed table is as shown above (all values are correctly filled).
c. 20
d. $p = 20d$