Hi there!
We can begin by using the point (0, 1).
At the graph's y-intercept, where x = 0, y = 1, so:
1 = a(0)² + b(0) + c
c = 1
We can now utilize the first point given (-3, 10):
10 = a(-3)² + b(-3) + 1
Simplify:
9 = 9a - 3b
Divide all terms by 3:
3 = 3a - b
Rearrange to solve for a variable:
b = 3a - 3
Now, use the other point:
15 = a(2)² + 2(3a - 3) + 1
14 = 4a + 6a - 6
Solve:
20 = 10a
2 = a
Plug this in to solve for b:
b = 3a - 3
b = 3(2) - 3 = 3
Add all solved variables together:
2 + 3 + 1 = 6
Answer:
Please see the attachment for double number line.
Explanation:
We are given cost of 4 water bottles is $10
We can write ,
Cost of 4 bottles = $10
Cost of 1 bottle = $2.5
Cost of 2 bottles =$5
Cost of 3 bottles = = $7.5
Cost of n bottles = $2.5n
Now we draw the double number line.
Bottom line(Line 1) will take as number of bottles:
1 2 3 4 5 6
Above line (Line 2) will show the cost of corresponding number of bottles:
2.5 5 7.5 10 12.5 15
