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

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Write linear functions: word problems

Full solution

Q. Camacho is buying a monster truck. The price of the truck is

\newline

x

dollars, and he also has to pay a

\newline

13\%

monster truck tax.

\newline

Which of the following expressions could represent how much Camacho pays in total for the truck?

\newline

Choose

2

answers:

\newline

A

\newline

(1+0.13)x

\newline

B

\newline

\frac{13}{100}x

\newline

C

\newline

13x

\newline

D

\newline

1.13x

\newline

E

\newline

13x+x

Understand the problem: Understand the problem. $\newline$ 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. $\newline$ 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. $\newline$ The tax amount is $13\%$ of the price of the truck, which is $0.13$ times $x$ dollars. $\newline$ Tax $= 0.13 \times x$
Calculate total cost: Calculate the total cost including tax. $\newline$ The total cost is the price of the truck plus the tax amount. $\newline$ Total cost = Price of the truck + Tax $\newline$ Total cost = $x + (0.13 \times x)$
Simplify expression: Simplify the expression for the total cost. $\newline$ We can factor out $x$ from the expression to simplify it. $\newline$ Total cost = $x(1 + 0.13)$ $\newline$ Total cost = $x(1.13)$
Identify correct expressions: Identify the correct expressions. $\newline$ Now we need to match our simplified expression with the given options. The correct expressions that represent the total cost including tax are: $\newline$ A) $(1+0.13)x$ because it simplifies to $1.13x$ , which is the price of the truck plus the $13\%$ tax. $\newline$ D) $1.13x$ because it is already in the simplified form that represents the total cost including tax.
Eliminate incorrect options: Eliminate incorrect options. $\newline$ Option B) $(13)/(100)x$ is just another way of writing $0.13x$ , which represents only the tax amount, not the total cost. $\newline$ Option C) $13x$ would mean a $1300\%$ tax, which is incorrect. $\newline$ 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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