Which equation represents a proportional relationship that has a constant of proportionality equal to 1/5?y = x - 1/5
y = x + 1/5
y = 1/5x
y = 5x
Answers
Answer:
y = 1/5x
Step-by-step explanation:
quickly enter 0 1 2 3 4 5 for x
see what you get for y
for y = 1/5x you get the SAME number whenever you do y divided by x
x y
0 0
5 1
10 2
15 3
20 4
The equation that represents a proportional relationship with a constant of proportionality equal to 1/5 is:
y = 1/5x
A proportional relationship between two variables x and y can be written as:
y = kx
Where k is the constant of proportionality.
If k = 1/5, then the equation becomes:
y = (1/5)x
Which is the same as:
y = 1/5x
So out of the given options, y = 1/5x is the only equation that represents a proportional relationship with a constant of proportionality equal to 1/5.
The other equations have different constants of proportionality:
- y = x - 1/5 -> k = 1
- y = x + 1/5 -> k = 1
- y = 5x -> k = 5
Therefore, y = 1/5x is the correct equation with a constant of proportionality equal to 1/5.
Related Questions
Express the fractions 3/4 7/16 and 5/8 with the LCD
How many distinct way can the word TOOTH be arranged
Nine minus the quotient of two and a number x.
What ratios are equivalent to 2 : 7?
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answers
The coordinate (x,y)=(-2,-3).
We have given the following pair of equations
y = 3x + 3.....(1)
y = x − 1.....(2)
Here we use the substitution method
What substitution method?
The value of one variable from one equation is substituted in the other equation
So the given system of linear equation
We have substitute the value of y from equation 2 into the value of y in equation one
So we get
x − 1= 3x + 3
add like terms
x-3x=3+1
-2x=4
x=4/-2
x=-2
Plug x=-2 in equation 2 we get,
y = -2 − 1
y=-3
Therefore we get the coordinate(x,y)=(-2,-3).
To learn more about the substitution method visit:
Take X=-2 into y
(x, y) =(-2,-3)
B) 8 days
C) 9 days
D) 10.3 days
Answers
Answers
Answer:4 3/8
Step-by-step explanation: you add the full numbers together then you have to change the denominator of 3/4 to be /8 and what you do to the bottom you have to do to the top then you get 3 11/8 you then see how many 8 go into 11 to se if you need to add another full number and the numbers left over go back to the 8 making the awnser 4 and 3/8.
Answers
Answer:
(x - 10)(x + 10)
Step-by-step explanation:
x² - 100 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 100
= x² - 10²
= (x - 10)(x + 10)
Answers
ABC ≈ XYZ
thus, BC = YZ (corresponding parts of congruent triangles)
thus, YZ = BC = 32 units
adjusted balance
b.
average daily balance
c.
previous balance
d.
usual balance
Answers
The method used by credit card companies to calculate finance charges in which it is most favorable to the card issuer is the previous balance method. This is computed by charging the interest into the new billing period. This is least favorable to cardholder thus, most favorable to card issuer.
Answer:
usual balance
Step-by-step explanation: