unit 4 lesson 16 unit rates and proportions unit test
which ratio is equivalent to 9/18? 3/26
L=15 gallon tank D=330MILES 15 divided by 330=22
7/8 divided by 3/4=1/1/6=7/6
C=2/3-1/2=3/4
R=RL 2=scoops of raspberries for every 5 cups of lemonade (1,2.5)
determine if the quantities in the data table are in a proportional relationship if they are not in a proportional relationship indicate why. yes, the data table has a proportional relationship.
find a slope of the line given its graph? =-9
identify the table that demonstrates a proportional relationship 10/2, 15/3, 40/8
if a graph is proportional, what charactisicts does it display? it will pass through the point (0,0)
C=runs 15 miles in 60min how far will he run in 3 hours if he continues to run at the same rate? 15 miles
whale=200miles in 5 days 16 days= Y=40x16
maryna spent more time writing per problem at the unit rate of 26min/1problem
which city is wramer and what is the difference in their tempertures after 5 hours? city B is wramer by 10 deegrees
jimmy reads 15 pages in 5 min carlo reads 12 pages in 6min find each constant of proportionality showing your work? jimmy reads more pages in less amount of time than carlo jimmy read 3 pages more than carlo and 1min faster jimmy reads 3 pages per min while carlo reads 2 pages per min therefore jimmy reads at a faster rate than carlo.
The ratios are not equivalent.
To find the ratio equivalent to 9/18, you need to simplify the fraction. Both the numerator and the denominator are divisible by 9, so you can divide both numbers by 9
9/18 รท 9/9 = 1/2
So, the ratio equivalent to 9/18 is 1/2.
To find the slope of a line given its graph, you need two points on the line. The slope is calculated by dividing the change in the y-coordinate by the change in the x-coordinate.
The slope is given as -9, which means that for every 1 unit increase in the x-coordinate, the y-coordinate decreases by 9 units.
To determine if the quantities in a data table are in a proportional relationship, you need to check if the ratios between corresponding values are equal. You mentioned three different tables, but it seems like the numbers provided are incomplete. Please provide complete data for further analysis.
The statement "C = runs 15 miles in 60 minutes" is incomplete. Please provide more information or clarify the question.
To find the constant of proportionality, you need to divide the number of pages by the time taken. From the given information, Jimmy reads 15 pages in 5 minutes, so his rate is 15/5 = 3 pages per minute. Carlo reads 12 pages in 6 minutes, so his rate is 12/6 = 2 pages per minute. Therefore, Jimmy reads at a faster rate than Carlo.
It seems like some of your answers are incomplete or unclear. If you can provide more information or clarify your questions, I will be happy to assist you further.
To answer these questions, I'll go through each one and explain how to arrive at the correct answer.
1. Which ratio is equivalent to 9/18?
To find an equivalent ratio, you can simplify the given ratio by dividing both the numerator and the denominator by their greatest common factor. In this case, both 9 and 18 can be divided by 9, resulting in 1/2. Therefore, the ratio 1/2 is equivalent to 9/18.
2. L=15-gallon tank D=330 MILES
To find the unit rate, divide the quantity of miles (D) by the tank capacity (L): 330 miles divided by 15 gallons. The result is 22 miles per gallon.
3. 7/8 divided by 3/4
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. In this case, the reciprocal of 3/4 is 4/3. So, the calculation becomes (7/8) * (4/3) = 28/24. Simplifying this fraction gives you 7/6.
4. C=2/3 - 1/2
To subtract fractions, find a common denominator. In this case, the common denominator is 6. So, the calculation becomes (4/6) - (3/6) = 1/6.
5. R = 2 scoops of raspberries for every 5 cups of lemonade (1, 2.5)
This statement shows a ratio relationship between scoops of raspberries and cups of lemonade. It does not express a proportional relationship since the ratio is not constant.
6. Find the slope of the line given its graph?
To find the slope of a line, you need to determine the change in the y-coordinate divided by the change in the x-coordinate between two points on the line. The value of -9 represents the slope of the line.
7. Identify the table that demonstrates a proportional relationship:
To determine if a table represents a proportional relationship, check if the ratios between the two columns are always the same. In this case, if you divide the second number by the first number in each row, you will find that all the ratios are 5/1. Therefore, the table 10/2, 15/3, 40/8 represents a proportional relationship.
8. If a graph is proportional, what characteristics does it display?
Proportional graphs pass through the origin (0, 0), meaning the y-coordinate is zero when the x-coordinate is zero. This represents the starting point of the relationship.
9. C runs 15 miles in 60 minutes. How far will he run in 3 hours if he continues at the same rate?
Since C runs 15 miles in 60 minutes, the unit rate is 15 miles per 60 minutes. To find how far he will run in 3 hours, multiply the unit rate by the length of time in hours. So, (15 miles / 60 minutes) * (3 hours * 60 minutes/hour) = 15 miles.
10. Whale = 200 miles in 5 days. How many days is 16 miles?
To find the number of days, set up a ratio between distance and time. In this case, the ratio is 200 miles / 5 days. Set up a proportion with the given value: 200 miles / 5 days = 16 miles / x days. Cross multiply and solve for x: 200 * x = 5 * 16. Divide both sides by 200 to find x = 5 * 16 / 200 = 40 * 16.
11. Maryna spent more time writing per problem at the unit rate of 26 minutes per 1 problem.
This statement indicates that Maryna takes 26 minutes to complete one problem. Therefore, she spends more time per problem than others who take less than 26 minutes.
12. Which city is warmer, and what is the difference in their temperatures after 5 hours?
To determine which city is warmer, you need to compare their temperatures after 5 hours. The temperature difference is given as 10 degrees, indicating that City B is warmer than City A by 10 degrees.
13. Jimmy reads 15 pages in 5 minutes and Carlo reads 12 pages in 6 minutes. Find each constant of proportionality.
To find the constant of proportionality, divide the number of pages (P) by the time (T). Jimmy reads 15 pages in 5 minutes, which means he reads 3 pages per minute (15 pages / 5 minutes = 3 pages/minute). Carlo reads 12 pages in 6 minutes, so he reads 2 pages per minute (12 pages / 6 minutes = 2 pages/minute). Therefore, Jimmy reads at a faster rate than Carlo.