Determining the Appearance of a Graph
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the
graph of the exponential function relating time and money?
O
O
O
O
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time,
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time,
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time,
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time,

i would have to say it is c.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb