Umm so I’m thinking -12,470, but in scientific notation it is -1.247 x 10^4
Answer:
Step-by-step explanation:
Given:
Family of 2
Cost, C1 = $25
Family of 6
Cost, C2 = $65
Given that 2 points are given above as the following in coordinate form:
A(2,25) and B(6,65)
Rate of change is given as = (y2 - y1)/(x2 - x1)
= (65 - 25)/(6-2)
= 40/4
Therefore,
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
(y - 25)/(65 - 25) = (x - 2)/(6 - 2)
(y - 25)/40 = (x - 2)/4
(y - 25) = 40/4 × (x - 2)
(y - 25) = 10 × (x - 2)
Expanding,
y - 25 = 10x - 20
y = 10x - 20 + 25
y = 10x + 5
Y=amount of money paid. (in $)
x=number of songs download.
We have this function:
y=0.25x+9.99
Then:
if y=113.74
113.74=0.25x+9.99
0.25x=113.74-9.99
0.25x=103.75
x=103.75 / 0.25
x=415
Answer: the number of songs downloaded would be 415.
Well, this problem is best solved by setting up a system of two linear equations.
A linear equation can be defined
y=mx+b
where
b=initial value (when x=0), and
m=rate of increase or decrease.
In the given example, the x-axis represents hour, and the y-axis, number of cells.
Chemical #1
initial value = b = 12000 cells
rate = m = -4000 / hr
The equation is therefore
y1=-4000x+12000......................(1)
Similarly, for chemical #2
initial value = b = 6000 cells
rate = m = -3000 / hr
The equation is therefore
y2=-3000x+6000 .......................(2)
The time the two will have an equal sized colony would represent the solution of the system of equations (1) and (2), i.e. when y1=y2
which means
-4000x+12000 = -3000x+6000
transpose and solve for x
4000x-3000x = 12000-6000
1000x=6000
x=6 hours.
At 6 hours from the start,
y=-4000x+12000 = -4000*6+12000 = -24000+12000 = -12000 cells
So the solution is x=6, y=-12000, or (6,-12000)
Physical interpretation
Since cells cannot have a negative number, the two are actually equal before six hours, when they are both zero.
Case 1: y=0 when x=3
Case 2: y=0 when x=2
Therefore, after three hours, both trials will have zero cells.
You have to judge whether to give the mathematical solution (x=6,y=-12000) or the physical interpretation (x=3, y=0) as the answer.
Answer: for 2 cups, There are 232 Calories.
Step-by-step explanation:
Step 1
Let the calories in one cup be represented as C
Therefore
3/4 x C = 87 calories
C = 87 X 4 / 3 = 116
unit rate is 116 calories per cup.
Step 2- Solving the number of calories in 2 cups
1 cup serving = 116 calories
2 cups servings = 116 x 2= 232 calories
