Let the year represents x axis and consumption represents y axis.
Since 2010 is the initial year, x=0
and 2013 is third year , so x=3
Co-ordinates are (0,8.938)(3,10.480)
Exponential formula is 
Putting the value of x in the above formula from 1st coordinate,
As 
= 1
this gives a= 8.938
Now using the 2nd coordinate
putting the value of a in it we have
taking cube roots on both sides we get
b= 1.05448
Now putting the values of a and b in the exponential formula-
In the year 2028, x=28
so,
y= 39.474
Hence oil consumption per day in 2028 will be 39.474 million barrels.
Answer:
X=3
Step-by-step explanation:
We have two linear functions which intersect at a point. This point is shown in the attached graph. Linear functions are lines which are made of points that satisfy the function or relationship. This means at the intersection, this point (3,-1), both functions have the same values. An input of x=3 produces y=-1 in both functions.
Answer:
5. f(x) = 10,000 (1.5)^x
Step-by-step explanation:
We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
Let's test it.
Initial:
10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
Let's try our equation.
f(x) = 10,000 (1.5)^x
x = 2
10,000(1.5)^2
10,000(2.25) = 22,500
The same!
Answer:
8.6
Step-by-step explanation:
5.16 x 10 = 51.6 , 0.6 x 10 = 6, 6 divided by 51.6 = 8.6
