Question

What equation models the data in the table if d = number of days and c = cost? Days Cost 2 6 3 9 5 15 6 18 c = 3d c = d + 3d d = 3c c = d + 3

Answer 1

After looking at the table I believe the equation would be c=3d. I came to this conclusion because (6)=3(2); (9)=3(3); (15)=3(5); 18=3(6). I really hope this helps!:)

Answer 2

`c=3d`

Explanation:

Days Cost

2 6

3 9

5 15

6 18

Now to find equation that models the given data we will use two point slope form.

Formula:
`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`(x_1,y_1)=(2,6)`

`(x_2,y_2)=(3,9)`

Substitute the values in the formula

`y-6=(9-6)/(3-2)(x-2)`

`y-6=3(x-2)`

`y-6=3x-6`

`y=3x`

where y denotes the number of days and x denotes the cost

Let us suppose d denotes the number of days and c denotes the cost

So, equation becomes:
`c=3d`

Hence an equation models the data in the table is
`c=3d`

So, option A is true.