X y3 −2
6 3
9 8
12 13
Determine whether the table represents a proportional relationship. If a proportional relationship exists, what is the constant ratio of
y
x
?
A) yes;
5
3
B) yes;
3
5
C) yes;
1
3
D) The table does not represent a proportional relationship.
Answers
Answer:
A.
Step-by-step explanation:
Yes, they have a proportional relationship.
The table shows sequences, where x-values increase +3, and y-values increase +5, that is, while x increases 3 unites, y increases 5 units, this ratio between variables can be described as the slope:
This fraction or ratio is referring to what we said in words, while y increases 5 units, x increases 3 units. We observe that is a positive ration, this means that magnitudes are both increasing.
Therefore, the right answer is the first one A.
both the x and y values are increasing at a steady rate (x by 3 and y by 5)
because it’s y/x, you would put the increase in the y value over the increase in the x value
hope that helps :)
Related Questions
I need to know the answers to 10-27!!!! Plz label each number
How much is 500 seconds?
4,400 people voted for the shopping center.17,600 did not vote for the shopping center. What percentage voted for the shopping center?HELP!!!!!!!!!!!!!!!!!!!???
How many times larger is a 10pound dog from a hamster weighing 5/8 pound
Answers
Answers
(5,10)(2,7)
Rise/run = 10-7/5-2 = 3/3 = 1
Therefore, the slope of the line is 1.
Answers
Answer:
A) For the poster: length = 9 inches and width = 3 inches
B) For the banner: length = 10 inches and width = 2 inches
Step-by-step explanation:
A) The perimeter was given as 24 inches, so that;
P = 2 (l+w)
But, l = 3w, where w is the width. So that;
P = 2 (3w + w)
24 = 2 (4w)
24 = 8w
⇒ w = 3 inches
But, l = 3w = 3 × 3 = 9 inches
Therefore for the poster, length is 9 inches and width is 3 inches.
B) With the same value of perimeter, 24 inches:
p = 2 (l+w)
But, l = 5w, where w is the width. So that:
p = 2( 5w + w)
24 = 2 (6w)
24 = 12w
⇒ w = 2 inches
But, l = 5w = 5 × 2 = 10 inches
Therefore, for the banner, length is 10 inches and width is 2 inches.
"A poster is 3 times as long as it is wide"
This means that the length is three times larger than the width of the poster (which is in the shape of a rectangle).
"A banner is 5 times as long as it is wide"
This is exactly the same as the one for the poster, except the length of the banner is FIVE times larger than the width, instead of three.
"Both the banner and the poster have perimeter of 24 inches"
Both the banner and poster are rectangles. The formula for perimeter for rectangles is P = 2L + 2W (L = length, W = width).Perimeter of the Poster = 2L + 2WPerimeter of the Banner = 2L + 2WFor the poster, it was mentioned that the length is 3x larger than the width, so that must mean L = 3 * W = 3W. So therefore:Perimeter of the Poster = 2(3W) + 2W = 6W + 2W = 8W.For the banner, it was mentioned that the length is 5x larger than the width, so that must mean L = 5 * W = 5W. So therefore:Perimeter of the Banner = 2(5W) + 2W = 10W + 2W = 12W.So we found our perimeters, which are 8W for the poster and 12W for the banner. But the question also states that BOTH perimeters are 24 inches. So we must set 8W equal to 24 and 12W equal to 24.8W = 24W = 3 inches (For the poster)12W = 24W = 2 inches (For the banner)So we found our widths of both the poster AND the banner. Now we just need to find the lengths. But remember how I stated earlier that the length for the poster is 3W (L = 3W)? And for the banner, it's L = 5W? We can use that to find the lengths since we already know values for the widths.For the poster:L = 3W = 3(3) = 9 inchesFor the banner:L = 5W = 5(2) = 10 inchesSo the poster has a length of 9 inches and width of 3 inches, and the banner has a length of 10 inches and a width of 2 inches
Answers
4x+3y=12
Answers
Lets convert!
4x + 3y = 12
-4x -4x
12 - 4x = 3y
3y/3 = 12 - 4x/3
12/3 = 4
y = -4/3x + 4
Answer:
-4 -4 but you can't subtract x so divide 3.
Answers
y=1.3x+4