Answer:
The first table
Step-by-step explanation:
You have to make sure that x is unique throughout.
First Table: the inputs are 2, 4, 6, 7
each input value is different or unique
Second Table: input values are 3, 5, 3, 5
three and five repeat themselves, so there is not a function
Third Table: input values are -2, 0, 1, -2
negative 2 repeats itself so it is not unique
. The amount of TIME spent driving (which depends on the SPEED of the car) is 5 hours. means time(speed) = 5. TIME and SPEED are your key words and 5 is the key number.
The formula for depreciation is:
Where x = Initial value,
y= Amount after depreciation.
r= Rate of depreciation,
t = time (in years)
According to given problem,
x = 1040, y= 944 and t = 12 months =1 year.
So, first step is to plug in these values in the above formula, So,
944 = 1040 (1 -r)
Divide each sides by 1040.
0.907692308 =1 - r
0.907692308 - 1 = -r Subtract 1 from each sides.
-0.092307692 = -r
So, r = 0.09 or 9%.
Now plug in 0.09 in the above equation to get the depreciation equation. So,
So,
b) To find the value of the bike after 5 months,
plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.
So,
y = 1040 * 0.961465659
y = 999.9242852
y = 1000 (Rounded to nearest integer).
Hence, the value of the bike after 5 months is $1000.
Answer:
Equation of the straight line passing through the point ( 1,2 ) and having the slope
x - √3y -1+2√3 =0
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the point (1,2) and an angle = ∝ = 30°
The slope of the line
m = tan 30°
<u><em>Step(ii)</em></u>:-
Equation of the straight line passing through the point ( 1,2 ) and having the slope
y - y₁ = m(x-x₁)
y - 2 = ( x -1)
√3(y-2) = (x-1)
⇒ √3y - 2√3 = x -1
x - √3y -1+2√3 =0