To solve this, we are going to use the slope formula, and the point slope formula.
Slope formula:

where

is the slope.

are the coordinates of the first point.

are the coordinates of the first point.
Point-slope formula:
Plan A. Coordinates of the first point: (1,14) (number of discs, cost). Coordinates of the second point: (2,17). Lets replace those values in our slope formula:



Now that we have the slope, we can use the point slope formula:




Remember that in a linear equation of the form

,

is the slope and

is the y-intercept. In our model the y-intercept is the membership fee.
Since

in our linear equation, we can conclude that the membership fee is
$11
Plan B. Coordinates of the first point (1,12). Coordinates of the second point (2,16).







Membership fee:
$8
Plan C. Coordinates of the first point: (1,10). Coordinates of the second point: (2,15).







Membership fee:
$5
Part D. Coordinates of the first point: (1,12). Coordinates of the second point (2,21).







Membership fee:
$3
We can conclude that the plan that has the smallest one-time membership is <span>
Plan D.</span>
If there is 2 digits and 7 numbers the combos would be:
1,1 2,1 3,1 4,1 5,1 6,1 7,1
1,2 2,2 3,2 4,2 5,2 6,2 7,2
1,3 2,3 3,3 4,3 5,3 6,3 7,3
1,4 2,4 3,4 4,4 5,4 6,4 7,4
1,5 2,5 3,5 4,5 5,5 6,5 7,5
1,6 2,6 3,6 4,6 5,6 6,6 7,6
1,7 2,7 3,7 4,7 5,7 6,7 7,7
Therefore there are 49 possible combinations :)
Answer:
D
Step-by-step explanation: