Afunction f is given by the formula f(x)=a⋅ekx for constants a and k. we also know that f(4)=12 and f(7)=5. find numerical values for the constants a and k.

The given function is

And it is given that

On using this information, we will get

And the other point is

Using this point, we will get

Dividing both equations, we will get

Taking ln to both sides

Performing back substitution ,

y-1700=200(x+4)

step-by-step explanation:

200(x+4) is 200x + 800 she is saving 200 per week x is the weeks and the -1700 is. us that’s howmuch she already had

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18