Question

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
I know p is independent and L is dependent, i can come up with a graph, i just need you to come up with an equation, i can't think of one that will work, i have tried many.

please Just come up with an equation, i had a person "try" the numbers up there are parts of the equation, not the A B C D answrs, there are none. I just need an equation
like l = p * 68 or something

Answer 1

(0,128),(1,98)
slope = (98 - 128) / (1 - 0) = - 30

y = mx + b
slope(m) = -30
y int (b)...ur y int is when x = 0....and u have (0,128)...so ur y int is 128
sub into ur equation
y = -30x + 128 <=== ur equation

Answer 2

Answer:

$p(c)=-30c+128$$or \:30c+p=128$

Step-by-step explanation:

1) Reading the table, the y values are constantly decreasing in 30 units. So, it is a linear function.The paint left is dependent of the amount on the number of the chairs.

2) To find out the function, we need the slope. Let's pick two coordinate points (0,128) and (1,98). And then plug it in the slope equation

$m=\frac{98-128}{1-0}\Rightarrow m=-30$

3) To find out the linear parameter, b. Then let's calculate it by plugging other points into the function:

$128=-30(0)+b \Rightarrow b=128\\98=-30(1)+b \Rightarrow b=128$

Finally,

$p(c)=-30c+128$