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

Answer:

$c=3d$

Step-by-step 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:$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

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

Substitute the values in the formula

$y-6=\frac{9-6}{3-2}(x-2)$

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

$y-6=3x-6$

$y=3x$

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.