Question

HELP ME I NEED TO ANSWER THIS BEFORE OCTOBER 26!!

For each table, identify the independent and dependent variables. Represent the relationship using words, an equation, and a graph.

Number of Chairs Painted, p | Paint Left (oz), L
0 | 128
1 | 98
2 | 68
3 | 38

Number of Snacks Purchases,s | Total Cost ,C
0 | $18
1 | $21
2 | $24
3 | $27

Number of Flights of Stairs Climbed,n| 0 | 1 | 2| 3 |
Elevation(ft above sea level),E |311|326|341|256|

Please Help Me 
&
Thank You

Answer 1

ANSWER TO QUESTION 7

Independent Variable: Number of Chairs Painted(p)

Dependent Variable: Paint Left(L)

To represent the relationship using a graph, we draw two perpendicular axis, wth Number of Chairs Painted(p) on the horizontal axis, and Paint Left(L) on the vertical axis.

Then we plot the points

`(0,\:\:128)`,
`(1,\:\:98)`,
`(2,\:\:68)`,
`(3,\:\:38)`.

Using a straight edge, we draw a straight line through the points as shown in the diagram attached.

From the graph the slope is given by

`Slope=(60)/(-2)=-30`

and the y-intercept is

`c=128`

The equation is given by

`L=mp +c`

That is

`L=-30p +128`

In words, Paint level is reducing at a rate of
`30`oz

ANSWER TO QUESTION 8

Independent Variable: Number of snacks purchased(s)

Dependent Variable: Total Cost(c)

To represent the relationship using a graph, we draw two perpendicular axis, with Number of snacks purchased(s) on the horizontal axis, and Total Cost(c) on the vertical axis.

Then we plot the points

`(0,\:\:18)`,
`(1,\:\:21)`,
`(2,\:\:24)`,
`(3,\:\:27)`.

Using a straight edge, we draw a straight line through the points as shown in the diagram attached.

From the graph the slope is given by

`Slope=(3)/(1)=3`

and the y-intercept is

`c=18`

The equation is given by

`C(s)=ms +c`

That is

`C(s)=3s +18`

In words, the Total cost increases is reducing at a unit rate of
`3`

ANSWER TO QUESTION 9

Independent Variable: Number of flight of stairs climbed(n)

Dependent Variable:Elevation (ft above sea level),E

To represent the relationship using a graph, we draw two perpendicular axis, with Number of flight of stairs climbed(n) on the horizontal axis, and Elevation (ft above sea level),(E) on the vertical axis.

Then we plot the points

`(0,\:\:311)`,
`(1,\:\:326)`,
`(2,\:\:341)`,
`(3,\:\:356)`.

Using a straight edge, we draw a straight line through the points as shown in the diagram attached.

From the graph the slope is given by

`Slope=(15)/(1)=15`

and the y-intercept is

`c=311`

The equation is given by

`E(n)=mn +c`

That is

`E(n)=15n +311`

In words, the unit rate of rising above sea level is
`15`