Provide clear explanation please and ignore my answers because they are wrong

1, (3 pus.) For a particular model of car, the quantity Q f(P) of ours sold (In thousands) in a function of the selling price P (in thousands of dollara). Suppose that the price changes over time according to the function P J ((), where the time & is in years after 2000, Assume that / and g are Invertible. (11) Which of the following statements is best supported by the equation f-(48) 2 327 Select ang statement, by filling in the corresponding oval. ANSWERI O When the selling price Is $32000, 48 thousand cars are sold, O When the selling price in $48000, 32 thousand cars aro Rold. . When the selling price in $48000, 1/32 thousand cars are sold. O When the selling price is $32000, 1/40 thousand cars are sold. (b) Write an equation, in terms of f, g, f" and/or g-1, representing the following sentence. At a selling price of 45 thousand dollars, 12 thousand fewer cars are sold than at a selling price of $37000. PATTERNED f ()- 13 (x 145) + 3700. b4 18 (x - -45 ) +)9000 12 X 5 1 8 ( ) - TYS ) + 3 8 0 0 0 12 5 - 135 2- 10 -175 yr 15 3 ANSWER: f ( x ) = 12 ( 1 - 45 ) + 3700 0 f 12j - 131 4 (c) Write a mathematical expression, in terms of f, g, f and/or g-1, representing the time when the manufacturer sold 25 thousand cars. f ( x ) = 25x + ( x ) - 25 x ANSWER: X 2. (3 pt) A student club is selling t-shirts for Thon. They found that when selling the shirts for $10 cach, they sell 800 shirts. However, they found over the years that every $1 price increase resulted in 20 fewer shirts being sold. Find a formula for the demand function N(P). (The demand function gives the number of shirts sold as a function of the price.) me lo NOPJ = * . + ANSWER: N ( P ) = - 20*+800 3. (4 pt) In certain valley, the number of deer changes periodically over a 15-year span. It ranges from lowest count of 300 deer to highest count of 500 deer. In the year 2022, the door population decreased as compared to 2021, and was 400 deer. Let P(t) be the deer population & years after 2022. Find a formula for P (t)