When a number is decreased by 7.5%, the result is 61. What is the original number to the nearest tenth?

65.9

Step-by-step explanation:

decreased by 7.5%

means 100% - 7.5% = 92.5%

92.5% * x = 61

x= 61 / 92.5%

x = 65.9459

to the nearest tenth :

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

b

step-by-step explanation: