Which is the correct graph for the equation?
1 answer:
Answer:
From the given graph, we can easily determine that graph A contains the y-intercept b = 3.
Thus, option A is the correct option.
The graph of the equation is also attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the function
2x+5y=15
converting the equation into the slope-intercept form
5y = -2x + 15
divide both sides by 5
y = -2/5x + 3
Thus,
The slope of the line is: m = -2/5
The y-intercept of the line: b = 3
In other words, the ordered pair (0, 3) represents the y-intercept.
From the given graph, we can easily determine that graph A contains the y-intercept b = 3.
Thus, option A is the correct option.
The graph of the equation is also attached below.
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Answer:
The worth of the car after 6 years is £2,134.82
Step-by-step explanation:
The amount at which Dan buys the car, PV = £2200
The rate at which the car depreciates, r = -0.5%
The car's worth, 'FV', in 6 years is given as follows;
Where;
r = The depreciation rate (negative) = -0.5%
FV = The future value of the asset
PV = The present value pf the asset = £2200
n = The number of years (depreciating) = 6
By plugging in the values, we get;
The amount the car will be worth which is its future value, FV after 6 years is FV ≈ £2,134.82 (after rounding to the nearest penny (hundredth))