A battery with
2 answers:
Answer:
Given,
The original percentage of battery = 20 %,
Also, Every minute that passes, an additional 5%,
So, the increment in percentage after x minutes = 5x percentage
Thus, the final battery after x minutes = ( 20 + 5x ) %
Let y represents the total percentage of battery after x minutes,
⇒ y = 20 + 5x
Which is the required function that shows the given situation.
For graphing,
y = 20 + 5x is a line having x-intercept = (-4,0)
And, y-intercept = (0,20)
Also, battery's capacity and time can not be negative,
⇒ x ≥ 0 , y ≥ 0
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Answer: 24 gallons
Check: (1/6)24=4, 4+14=18, 18/24=3/4, good
Answer:
B, C, and D.
Step-by-step explanation:
Let's go through each answer choice.
A: To find the slope of a line from two points, we use this formula: . Plugging in the values (-2,0) and (2, -4), we get:
Because option A says the slope is 1, but we got -1, option A is false.
B: To find the y-intercept, we use this formula:
Since we know the value of b is the y-intercept, we could write the y-intercept as (0,-2). Therefore, option B is true.
C: The equation of a line (in slope-intercept form) is y = mx + b, where y - y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. Since we already solved for the y-intercept and slope, let's plug in those values:
As you can see, the equation we got here matches the one in option C, meaning it's true.
D: We know that a point is written like this: (x, y). If the x-coordinate is not zero but the y-coordinate is, then it's the x-intercept. Since the question says that (-2,0) is one of the points the line passes through, and option D says that the x-intercept is (-2,0), it's true.