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

$Slope=\frac{60}{-2}=-30$

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

$Slope=\frac{3}{1}=3$

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

$Slope=\frac{15}{1}=15$

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 $15$