julian wants to join golf classes. initial deposit is $7.50.regular fees per day for unlimited golf is $30 but julian  will get special student discount of $10 per day. howmany days he can enjoy golf if he has $375? does number of days    and money represents proportional relation?                                   use table-chart, graph, and equation.              

Initial deposit is ----------------------- >$7.50

 Julian fees per day for unlimited golf is-------------- >(30-10)= $20

 View table-chart attached 

Julian has ------ > $375-$7.50(Initial deposit)= $367.50 

Per day--------------- >$20 

X-------------------- >$367.50 

X=367.5/20=18.3=18 days   

Julian can enjoy golf 18 days 

18 days*$20+$7.50=$367.5 < $375-- ---> is ok

The number of days and the money represent a proportional relationship that can be expressed through the equation of a line

 I select two points from the table

Point A(0,7.5)

Point B (2,47.5)

The equation of the line

Y=mx+b

For x=0   y=7.5

Therefore b=7.5

For point B

47.5=m*(2)+7.5------------- >m=(47.5-7.5)/2=20

m=20

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1