A bean plant grows 2 inches in 2 days, and a strawberry plant grows 4 inches in 5 days. Which plant grows at a slower rate? (find and compare unit rates).

Question

The strawberry plant grows at a slower rate because it grows 0.8 inches per day, and the bean plant grows 1 inch per day.
The strawberry plant has grown 3 more inches than the bean plant.
The bean plant grows at a slower rate because it grows 2 inches and the strawberry plant grows 4 inches.
Both plants are growing the same every day.

Answer 1

To determine which plant grows at a slower rate, we need to calculate the unit rates (inches per day) for each plant.

Bean Plant:

• Grows 2 inches in 2 days.
• Unit rate = \( \frac{2 \text{ inches}}{2 \text{ days}} = 1 \text{ inch per day} \)

Strawberry Plant:

• Grows 4 inches in 5 days.
• Unit rate = \( \frac{4 \text{ inches}}{5 \text{ days}} = 0.8 \text{ inches per day} \)

Now we can compare the two growth rates:

• Bean plant: 1 inch per day
• Strawberry plant: 0.8 inches per day

Since 0.8 inches per day is less than 1 inch per day, the strawberry plant grows at a slower rate.

Thus, the correct statement is: The strawberry plant grows at a slower rate because it grows 0.8 inches per day, while the bean plant grows 1 inch per day.

Answer 2

Marco's homework
Number of days | Number of hours
3 3.25
9 9.75
12 13.0
30 32.5

Maribella's homework
Number of days | Number of hours
4 4.2
8 8.4
20 21.0
28 29.4
If there is a positive proportional relationship between spending time on homework and success in math class, who would be more successful in their class?
They are equally successful, because they spend the same amount of time on homework.
Maribella would be more successful, because she spends more time on homework.
They both need to spend more time on homework. They should be doing homework all day.
Marco would be more successful, because he spends more time on homework.

Answer 3

To determine who would be more successful based on the time spent on homework, we can calculate the average hours spent per day for both Marco and Maribella.

Marco's Hours:

• For 3 days: 3.25 hours/day → \( \frac{3.25}{3} \approx 1.08 \) hours
• For 9 days: 9.75 hours/day → \( \frac{9.75}{9} \approx 1.08 \) hours
• For 12 days: 13.0 hours/day → \( \frac{13.0}{12} \approx 1.08 \) hours
• For 30 days: 32.5 hours/day → \( \frac{32.5}{30} \approx 1.08 \) hours

Average for Marco = \( \frac{3.25 + 9.75 + 13.0 + 32.5}{3 + 9 + 12 + 30} \) Average for Marco = \( \frac{58.5}{54} \approx 1.08 \) hours/day

Maribella's Hours:

• For 4 days: 4.2 hours/day → \( \frac{4.2}{4} = 1.05 \) hours
• For 8 days: 8.4 hours/day → \( \frac{8.4}{8} = 1.05 \) hours
• For 20 days: 21.0 hours/day → \( \frac{21.0}{20} = 1.05 \) hours
• For 28 days: 29.4 hours/day → \( \frac{29.4}{28} \approx 1.05 \) hours

Average for Maribella = \( \frac{4.2 + 8.4 + 21.0 + 29.4}{4 + 8 + 20 + 28} \) Average for Maribella = \( \frac{63.0}{60} = 1.05 \) hours/day

Comparison:

• Average hours for Marco: \( \approx 1.08 \)
• Average hours for Maribella: \( 1.05 \)

Since Marco spends an average of approximately 1.08 hours on homework per day compared to Maribella's 1.05 hours, Marco would be more successful, because he spends more time on homework.