Answer:
See below
Step-by-step explanation:
Centre of dilation
Dilation gives you a new shape that is either larger or smaller than the original.
In either case, every ray that passes through corresponding points of the two shapes will converge at the centre of dilation (Point O in the diagram).
Scale factor
To get the scale factor, you measure the ratio of lengths of corresponding sides in the shapes.
For example, a line in the red figure below may be four times as long as the corresponding line in the other.
If the dilation converts the blue shape into the red one, the scale factor is 4:1.
If the dilation converts the red shape into the blue one, the scale factor is 1:4.
Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = =
=
= -
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × - = - 36
a₆ = - 36 × - = 6
Answer:
Step-by-step explanation:
Answer:
Electric car = Exponential function (decreasing cost)
Gasoline car = Exponential function (increasing cost)
Step-by-step explanation:
The given data the Electric car, we have;
Time (years) Cost (thousands of dollars)
0 35
5 27
10 21
15 16
20 12.5
The difference between successive term is such that each term decreases by approximately the same percentage given as follows
1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease
2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease
3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease
4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease
Therefore. the electric car is best approximated by exponential function
The given data the Gasoline car, we have;
Time (years) Cost (thousands of dollars)
0 35
5 40.2
10 46.3
15 53.2
20 61.2
The difference between successive term is such that each term increases by approximately the same percentage given as follows
1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease
2nd and 3rd term (46.3 - 40.2)/40.2 × 100 ≈ 15.174% decrease
3rd and 4th term (53.2 - 46.3)/46.3× 100 ≈ 14.9% decrease
4th and 5th term (61.2 - 53.2)/53.2× 100 ≈ 15.03% decrease
Therefore. the Gasoline car is best approximated by exponential function