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)xB) 10013xC) 13xD) 1.13xE)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)xB) 10013xC) 13xD) 1.13xE)13x+x
Calculate Tax Amount: To find the total cost including the tax, we need to add the tax to the original price. The tax is 13% of the price of the truck, which can be represented as 0.13 times the price of the truck (x). To include this tax in the total price, we add it to the original price, which can be represented as 1x (the original price) plus 0.13x (the tax).
Express Total Cost: The expression that represents the total cost including the tax is therefore the sum of the original price and the tax: 1x+0.13x. This can be simplified by combining like terms to get 1.13x.
Check Answer Choices: Now let's check the answer choices to see which ones match our expression. Choice A is (1+0.13)x, which simplifies to 1.13x. This matches our expression for the total cost including the tax.
Evaluate Choice A: Choice B is (10013x), which is another way of writing 0.13x. This represents only the tax amount, not the total cost including the original price, so it is not a complete expression for the total cost.
Evaluate Choice B: Choice C is 13x, which would represent a tax of 1300%, not 13%, so this is incorrect for representing the total cost including the tax.
Evaluate Choice C: Choice D is 1.13x, which is the same as our derived expression for the total cost including the tax. Therefore, this choice is also correct.
Evaluate Choice D: Choice E is 13x+x, which would represent a tax of 1300% plus the original price, which is not correct for a 13% tax.
More problems from Area of quadrilaterals and triangles: word problems