40 pts! exponential functions!
some years ago, mr. smith & mr jones bought a car on the same day. the value of both cars has decreased every year.
mr smith: function f can be used to determine the value of mr. smith's car:
f(x) = 23, 000b ˣ
where x is the time elapsed, in years since the car was bought
& y the value of mr. smith's car.
mr. jones: function g can be used to determine the value of mr. jones' car:
g(x) = a(0.82) ˣ
where x is the time elapsed in years since the car was bought
& y the value of mr. jones' car.
two years after mr. smith bought his car, it was valued at $14, 720.
three years after mr. jones bought his car, it was valued at $16, 541. 04.
today, the value of mr smith's car is $4,823.45.
what is the value of mr jones' car today?

Jones' car is worth $7478.56 now

Step-by-step explanation:

Mr Smith:

Mr Jones:

After two years, Mr. Smith's car is $14,720

We can use this to solve for b in his equation.

Mr Smith:

Then, we can use the value of Mr. Smith's car today to find the amount of time  has passed.

For the final price, 7 years has passed.

We can use Jones' info to find his equation

Jones:

Now we just plug in x = 7 to find our value

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

step-by-step :