Answer:
C.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's first find the exponential function that models the situation in year one. The exponential standard form is
where a is the initial value and b is the growth/decay rate in decimal form. If it is growth it is added to 100% of the initial value; if it is decay it is taken away from 100% of the initial value. We are told that the number of cars in year one was 80 million, so
a = 80 (in millions)
If b is increasing by 10%, then we are adding that amount to the initial 100% we started with to give us 100% + 10% = 110% or, in decimal form, 1.1
The model for our situation is
where y is the number of cars after x years goes by. We want to find the difference between years 3 and 2, so we will use our model twice, replacing x with both a 2 and then a 3 and subtracting.
When x = 2:
and
y = 80(1.21) so
y = 96.8 million cars
When x = 3:
and
y = 80(1.331) so
y = 106.48 million cars
The difference between years 3 and 2 is
106.48 - 96.8 = 9.68 million cars
X=1
x=2
x=3
2(1)-y=4
2-y=4
-2 both sides
-y=2
÷-1 both sides
y=-2
(1,-2)
2(2)-y=4
4-y=4
-4 both sides
-y=0
y=0
(2,0)
2(3)-y=4
6-y=4
-6 both sides
-y=-2
÷-1 both sides
y=2
(3,2)
Answer:
a) eight and seven ninths minus three and four sixths
Step-by-step explanation:
The required result is 
a)
b)
c)
d)
The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
