Does the data in this table represent a proportional relationship? (1 point) Responses Yes, the table represents a proportional relationship because the ratios of all data points are equivalent. Yes, the table represents a proportional relationship because the ratios of all data points are equivalent. Yes, the table represents a proportional relationship because the unit rate is 1. Yes, the table represents a proportional relationship because the unit rate is 1. No, there is no unit rate for gallons of water used. No, there is no unit rate for gallons of water used. No, the unit rate is not equivalent to the other ratios. No, the unit rate is not equivalent to the other ratios.
Time(min): 1,2,3,7,10
Water Used(gal):5,10,15,35,50
No, the table does not represent a proportional relationship because the ratios of the data points are not equivalent.
A caterpillar can crawl 1/2 of an inch in 1/4 of a minute. How far can he crawl in 1 minute?(1 point) Responses 1 inch 1/8 inch 2 inches 12 inches
To find out how far the caterpillar can crawl in 1 minute, we need to find the unit rate of its crawling speed.
The caterpillar crawls 1/2 inch in 1/4 of a minute.
To find the unit rate, we can divide the distance by the time:
(1/2 inch) ÷ (1/4 minute) = 1/2 inch ÷ 1/4 = 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2 inches.
Therefore, the caterpillar can crawl 2 inches in 1 minute.
Which ratio is equivalent to 5/4 ?(1 point) Responses 30/24 30/20 24/30 20/30
To find the ratio that is equivalent to 5/4, we can simplify 5/4 by finding the greatest common divisor (GCD) of 5 and 4, which is 1.
So, dividing both the numerator and denominator of 5/4 by 1 gives us:
(5 ÷ 1) / (4 ÷ 1) = 5/4
Therefore, 5/4 is already the simplest form of the ratio and there is no other ratio that is equivalent to it. None of the provided responses are equivalent to 5/4.
To determine whether the data in this table represents a proportional relationship, we need to check if the ratios of the water used to time are equivalent.
First, let's calculate the ratios for each data point:
- When time is 1 minute, water used is 5 gallons. The ratio is 5/1 = 5.
- When time is 2 minutes, water used is 10 gallons. The ratio is 10/2 = 5.
- When time is 3 minutes, water used is 15 gallons. The ratio is 15/3 = 5.
- When time is 7 minutes, water used is 35 gallons. The ratio is 35/7 = 5.
- When time is 10 minutes, water used is 50 gallons. The ratio is 50/10 = 5.
As we can see, all the ratios are equal to 5. This means that the ratios of water used to time are equivalent for all data points. Therefore, the table represents a proportional relationship.
So the answer is: "Yes, the table represents a proportional relationship because the ratios of all data points are equivalent."