7 / 7 = 1
3 + 1 = 4
4 + 3 and 1 / 3 = 7 and 1 / 3
<span>The number of dollars collected can be modelled by both a linear model and an exponential model.
To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8)
The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3
y - 2 = 3(x - 1) = 3x - 3
y = 3x - 3 + 2 = 3x - 1
Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17
To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2.
8 = 2r^(3 - 1) = 2r^2
r^2 = 8/2 = 4
r = sqrt(4) = 2
Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
Answer:
Many solutions are possible. One example is (10,5) and (5,7).
Step-by-step explanation:
The slope is the distance between points represented as a ratio of vertical to horizontal distances. It is a difference or subtraction. To find two points work backwards. What two points have y values with a distance of -2?
5-7=-2
So the points are (x,5) and (x,7).
Now what x values have a distance of 5?
10-5 = 5
So the points are (10,5) and (5,7).
Answer:
7 stickers on each page.
Step-by-step explanation:
We start with 62 stickers.
Then we give 6 to the little sister, so we subtract 6 from 62.
62-6=56
Then we divide the remaining 56 stickers evenly across 8 pages.
56/8=7
7 stickers on each page.
-1^3 - -1^2 +1= -1. ...........