Answer: No. _______________________________________________________ In the figure attached, "Answer choice: # [3], which is: "$13,287.46 ", is INCORRECT. The correct answer is: ___________________________________________________ Answer choice #[1]: " $2,932 .24 " . ____________________________________________________ {NOT: "Answer choice: #[3]: "$13,287. 46 ".}. _____________________________________ Explanation: _________________________________________ For "Number 11" (in the figure attached): __________________________________________ Given: " v(x) = (28,000)(0.78)ˣ " ; ________________________________ To get the answer: ________________________________ The question asks: "How much MORE is Glen's car worth AFTER 3 (THREE) YEARS than AFTER 4 (FOUR) YEARS"? ____________________________________________ →Note well: The car is worth MORE after THREE (3) years than after FOUR (4) YEARS. Does this makes sense? Yes! ( → (Concept known as "devaluation"; or, "depreciation"). __________________________________________ Also, look at the entire function: __________________________________________ Given: v(x) = (28,000)(0.78)ˣ ; __________________________________________ Since this involves a "fraction" less than one, raise to an exponent, does it make sense that "v(x)" will be a greater value when "x = 3" (i.e. "3 years") than when "x = 4" (i.e. "4 years")? Yes! __________________________________________ So, to get our answer: __________________________________________ We subtract: __________________________________________ "(28,000)(0.78)⁴ " (the lower value). ____________________ FROM: ____________________________ "(28,000)(0.78)³ " (the higher value). ___________________________________ Let us let: "(28,000)" = x ;
and let: (0.78) = y ; ____________________________________
You have not given any graphs to choose from but x=-3 would be the graph that has a vertical line running through every point that has -3 as an x coordinate and would cross the x axis (the horizontal axis) at -3
