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) 10013x(C) 13x(D) 1.13x(E) 13x+x
Q. 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) 10013x(C) 13x(D) 1.13x(E) 13x+x
Understand the problem: Understand the problem.Camacho is buying a monster truck with a price of x dollars and has to pay an additional 13% tax on the price of the truck. We need to find the expressions that correctly calculate the total cost including the tax.
Convert to decimal: Convert the percentage to a decimal.To calculate the tax, we need to convert the percentage to a decimal. 13% as a decimal is 0.13.
Calculate tax amount: Calculate the tax amount.The tax amount is 13% of the price of the truck, which is 0.13 times x dollars.Tax =0.13×x
Calculate total cost: Calculate the total cost including tax.The total cost is the price of the truck plus the tax amount.Total cost = Price of the truck + TaxTotal cost = x+(0.13×x)
Simplify expression: Simplify the expression for the total cost.We can factor out x from the expression to simplify it.Total cost = x(1+0.13)Total cost = x(1.13)
Identify correct expressions: Identify the correct expressions.Now we need to match our simplified expression with the given options. The correct expressions that represent the total cost including tax are:A) (1+0.13)x because it simplifies to 1.13x, which is the price of the truck plus the 13% tax.D) 1.13x because it is already in the simplified form that represents the total cost including tax.
Eliminate incorrect options: Eliminate incorrect options.Option B) (13)/(100)x is just another way of writing 0.13x, which represents only the tax amount, not the total cost.Option C) 13x would mean a 1300% tax, which is incorrect.Option E) 13x+x is incorrect because it would mean a 1300% tax plus the price of the truck, which is not the case.
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