A)
The formula for direct variation is written as Y = KX, where k is the direct variation you need to solve for.
Y is the total amount raised and X would be the number of attendees:
100 = K5
Divide both sides by 5:
K = 100/5
K = 20
B. The constant of variation is K which is 20
C) Using the formula from A: y = kx, replace k with 20 and x with 60 and solve for y:
y = 20 * 60
y = 1200
The total is: $1,200
2. A relationship is proportional when the ratio is a constant number.The relationship is non proportional when the ratio varies between the different values.
Answer:
The amount of interest is $5580.
Step-by-step explanation:
Given : Jacob borrowed $30, 000 to start up his consulting business. The loan had simple interest rate of 6.2% for 3 years.
To find : The amount of interest he will pay with the loan ?
Solution :
Using interest formula,

Where, P is the principal P=$30,000
R is the rate of interest R=6.2%=0.062
T is the time t=3 years.
Substitute the value in the formula,


Therefore, The amount of interest is $5580.
Answer:
a and b are relative on maxima interval x =-4,x=0
First, set up a proportion to find the reduction in price. 25/100=x/320. Cross multiply to get 8000=100x. Divide by 100 on both sides to get x=80. That's the reduction in price. Subtract from the total to find the new price 320-80=$240
Answer:
The greatest common factor of this would be 3x^2y
Step-by-step explanation:
In order to find this, first find the greatest common factor of the coefficients. Since 3 goes in evenly to both 15 and -18, then we know that it is a common factor.
From there we need to find the number of x's. Since the first term only has 2 x's and the second has 3, we take the lowest number. (x^2)
And since the first term has 3 y's and the second has just 1, we take the lowest number (y).