Compare Proportions from Descriptions & Tables Quick Check

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Question
A bean plant grows 2 inches in 2 days. A strawberry plant grows 4 inches in 5 days. Compare the two proportional relationships. Assume each plant is growing at a constant rate.(1 point)
Responses

The bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches.
The bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches.

Both plants are growing every day.
Both plants are growing every day.

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.
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.

The strawberry plant has grown 2 inches more than the bean plant.

3 answers

To compare the growth rates of the two plants, we can calculate the daily growth for each plant.

  1. Bean Plant:

    • Grows 2 inches in 2 days.
    • Growth per day = 2 inches / 2 days = 1 inch per day.
  2. Strawberry Plant:

    • Grows 4 inches in 5 days.
    • Growth per day = 4 inches / 5 days = 0.8 inches per day.

Now we can compare the growth rates:

  • The bean plant grows at a rate of 1 inch per day.
  • The strawberry plant grows at a rate of 0.8 inches per day.

Based on these calculations, the correct response would be:

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.

Last week, Malika’s cat slept 18 hours each day. Her baby slept 91 hours total for the week. Compare the proportional relationship of the number of hours the cat and baby sleep each day.(1 point)
Responses

The baby slept fewer hours per day than the cat.
The baby slept fewer hours per day than the cat.

The cat slept fewer hours per day than the baby.
The cat slept fewer hours per day than the baby.

Both the cat and the baby spend less than half the hours of the day sleeping.
Both the cat and the baby spend less than half the hours of the day sleeping.

The cat and the baby slept the same amount of hours total for the week.
The cat and the baby slept the same amount of hours total for the week.

To compare the sleeping hours of Malika's cat and her baby, we first need to determine how many hours the baby slept per day.

  1. Cat:

    • Sleeps 18 hours each day.
    • Over 7 days, the cat sleeps = 18 hours/day * 7 days = 126 hours total.
  2. Baby:

    • Slept a total of 91 hours for the week.
    • Sleep per day = 91 hours / 7 days = 13 hours per day.

Now we can compare the daily hours of sleep:

  • Cat: 18 hours per day
  • Baby: 13 hours per day

From this comparison, we can conclude that:

The baby slept fewer hours per day than the cat.

This is the correct response.