Answer:
B
Step-by-step explanation:
The exponential function has the form
where a is the starting value or y-intercept. B is the rate of change and x is the variable typically time. In this situation,
has starting value 4, rate 3 and a -x.
Normally an exponential curve glides left to right growing steeper as it goes. But a -x flips this behavior. The curve starts very steep then gradually slows down. This means only graphs B or D are options. Since only graph B of these two has a y-intercept at 4, graph B is the solution.
Volume is cubed. If the dimensions are doubled, cube the scale factor:
2^3 = 8
The volume will increase by a scale of 8.
The new volume would be 97 x 8 = 776 ft^3
Diagonals of a parallelogram bisect each other. It is not relevant that PN=9. since AO=4 then AM=4
Parentheses first
9q-14+3q-3(8)=7
9q-14+3q-24=7
Combine like terms
9q + 3q - 14 - 24 = 7
12q -38=7
add 38 to both sides
12q - 38 + 38 = 7 + 38
12q = 45
divide both sides by 12
q = 45/12
q = 3.75