Question

which table shows a proportional relationship between the time spent reading and the number of pages read?

1. annie has a square garden bed that measures 2.8 meters on each side, and she plans to fill it with tomatoes and herbs. she decides to use one - quarter of the bed for tomatoes and the rest for herbs.

how much area does annie have to plant herbs?

Explanation:

For Question 4:

Step1: Define proportionality check

A proportional relationship means $\frac{\text{Pages Read}}{\text{Time Spent}}$ is constant for all pairs.

Step2: Check Top-Left Table

$\frac{15}{5}=3$, $\frac{17}{7}\approx2.43$, $\frac{19}{9}\approx2.11$ (not constant)

Step3: Check Bottom-Left Table

$\frac{3}{5}=0.6$, $\frac{8}{10}=0.8$, $\frac{13}{15}\approx0.87$ (not constant)

Step4: Check Top-Right Table

$\frac{20}{10}=2$, $\frac{30}{15}=2$, $\frac{25}{20}=1.25$ (not constant)

Step5: Check Bottom-Right Table

$\frac{5}{10}=0.5$, $\frac{10}{20}=0.5$, $\frac{15}{30}=0.5$ (constant)

Step1: Calculate total garden area

Area of square: $A = s^2$ where $s=2.8$ m.
$A = (2.8)^2 = 7.84$ $\text{m}^2$

Step2: Find herb area fraction

Herbs take $\frac{3}{4}$ of the total area.

Step3: Compute herb area

$\text{Herb Area} = 7.84 \times \frac{3}{4}$
$\text{Herb Area} = 5.88$ $\text{m}^2$

Answer:

The bottom-right table (with time values 10, 20, 30 min and page values 5, 10, 15 pages) shows a proportional relationship.

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For Question 5: