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Andru [333]
4 years ago
12

        Julian wants to join golf classes. Initial deposit is $7.50.Regular fees Per day for unlimited golf is $30 but Julian Wi

ll get special student discount of $10 per day.How
Many days he can enjoy golf if he has $375?Does number of days  And money represents proportional relation?

                 Use table-chart, Graph, and equation.  


  

 


   

Mathematics
1 answer:
kirill115 [55]4 years ago
3 0

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

<span>y=20x+7.5 see attached graphic</span>

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3 years ago
3x+1/10=x-1/7 what is x explain how you got the answer please do a step by step solution
polet [3.4K]
Ok, to solve an algebraic equation we need to get the unknown by itself on one side of the equals sign.  To do that, basically we just have to cancel everything else out... but whatever we do to cancel out what we don't want, we also have to do on the other side of the equals sign...

3x + 1/10 = x - 1/7

Let's start by getting the x on the right over to the left side.  To cancel it from the right side we have to subtract it (x-x = 0).  Don't forget to subtract it on the left also.

3x -x + 1/10 = x - x - 1/7

Now combine like terms

2x + 1/10 = -1/7

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2x + 1/10 - 1/10 = -1/7 - 1/10
 
Combine like terms

2x = -1/7 - 1/10

Let's get a common denominator so we can combine the fractions

2x = -10/70 - 7/70
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6 0
4 years ago
What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.
Lelu [443]

Use  

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=  

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of lineAnswer:

Step-by-step explanation:

Use  

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=  

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of line

8 0
3 years ago
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