we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx
so
we have
a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50
b) for x=2 y=1--------> y/x=1/2-------> 0.50
c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50
d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50
the value of k is equal to 0.50
so
<span>the relationship forms a direct variation. </span>
the equation is
y=0.50*x
Verify
for x=1
y=0.50*(1)------> y=0.50-----> is correct
for x=2
y=0.50*(2)------> y=1.00-----> is correct
for x=3
y=0.50*(3)------> y=1.50-----> is correct
for x=5
y=0.50*(5)------> y=2.50-----> is correct
Answer: $537.5
Step-by-step explanation:
$500 at 1.5% for 5 years
p x r x t = i
500 x 0.015 x 5= 37.5
37.5+500=537.5
Answer:

Step-by-step explanation:
To find what percentage a certain value is of another value, simply divide the first value by the second, respectively.
We want to find want percentage that 7,562.5 is of 275,000. Therefore, we will divide 7,562.5 by 275,000 to obtain a decimal:

To convert from a decimal to a percentage, multiply by 100:

Answer:
The 2 numbers are 32 and 65.
Step-by-step explanation:
x + y = 97 where x and y are the 2 numbers.
x = 2y + 1
Substituting for x in the first equation:
2y + 1 + y = 97
3y = 96
y = 32.
So x = 2y + 1 = 64 + 1 = 65.