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Camacho is buying a monster truck. The price of the truck is x dollars, and he also has to pay a 13% monster truck tax.
Which of the following expressions could represent how much Camacho pays in total for the truck?
Choose 2 answers:
(A) (1+0.13)x
(B) (13)/(100)x
(C) 13 x
(D) 1.13 x
E 
13 x+x

Camacho is buying a monster truck. The price of the truck is xx dollars, and he also has to pay a 13%13\% monster truck tax.\newlineWhich of the following expressions could represent how much Camacho pays in total for the truck?\newlineChoose 22 answers:\newline(A) (1+0.13)x(1+0.13)x\newline(B) 13100x\frac{13}{100}x\newline(C) 13x13x\newline(D) 1.13x1.13x\newline(E) 13x+x13x+x

Full solution

Q. Camacho is buying a monster truck. The price of the truck is xx dollars, and he also has to pay a 13%13\% monster truck tax.\newlineWhich of the following expressions could represent how much Camacho pays in total for the truck?\newlineChoose 22 answers:\newline(A) (1+0.13)x(1+0.13)x\newline(B) 13100x\frac{13}{100}x\newline(C) 13x13x\newline(D) 1.13x1.13x\newline(E) 13x+x13x+x
  1. Understand the problem: Understand the problem.\newlineCamacho is buying a monster truck with a price of xx dollars and has to pay an additional 13%13\% tax on the price of the truck. We need to find the expressions that correctly calculate the total cost including the tax.
  2. Convert to decimal: Convert the percentage to a decimal.\newlineTo calculate the tax, we need to convert the percentage to a decimal. 13%13\% as a decimal is 0.130.13.
  3. Calculate tax amount: Calculate the tax amount.\newlineThe tax amount is 13%13\% of the price of the truck, which is 0.130.13 times xx dollars.\newlineTax =0.13×x= 0.13 \times x
  4. Calculate total cost: Calculate the total cost including tax.\newlineThe total cost is the price of the truck plus the tax amount.\newlineTotal cost = Price of the truck + Tax\newlineTotal cost = x+(0.13×x)x + (0.13 \times x)
  5. Simplify expression: Simplify the expression for the total cost.\newlineWe can factor out xx from the expression to simplify it.\newlineTotal cost = x(1+0.13)x(1 + 0.13)\newlineTotal cost = x(1.13)x(1.13)
  6. Identify correct expressions: Identify the correct expressions.\newlineNow we need to match our simplified expression with the given options. The correct expressions that represent the total cost including tax are:\newlineA) (1+0.13)x(1+0.13)x because it simplifies to 1.13x1.13x, which is the price of the truck plus the 13%13\% tax.\newlineD) 1.13x1.13x because it is already in the simplified form that represents the total cost including tax.
  7. Eliminate incorrect options: Eliminate incorrect options.\newlineOption B) (13)/(100)x(13)/(100)x is just another way of writing 0.13x0.13x, which represents only the tax amount, not the total cost.\newlineOption C) 13x13x would mean a 1300%1300\% tax, which is incorrect.\newlineOption E) 13x+x13x + x is incorrect because it would mean a 1300%1300\% tax plus the price of the truck, which is not the case.

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