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Maya went shopping for a new pair of sneakers. Sales tax where she lives is 
3%. If the price of the pair of sneakers is 
p dollars and cents, which expression represents the total price plus tax?

0.03 p

1.03 p

3p

1.003 p

Maya went shopping for a new pair of sneakers. Sales tax where she lives is 3% 3 \% . If the price of the pair of sneakers is p p dollars and cents, which expression represents the total price plus tax?\newline0.03p 0.03 p \newline1.03p 1.03 p \newline3p 3 p \newline1.003p 1.003 p

Full solution

Q. Maya went shopping for a new pair of sneakers. Sales tax where she lives is 3% 3 \% . If the price of the pair of sneakers is p p dollars and cents, which expression represents the total price plus tax?\newline0.03p 0.03 p \newline1.03p 1.03 p \newline3p 3 p \newline1.003p 1.003 p
  1. Calculate Sales Tax: To find the total price including tax, we need to add the sales tax to the original price. The sales tax is 3%3\% of the original price, which is represented by 0.03×p0.03 \times p. Calculation: 0.03×p0.03 \times p
  2. Add Sales Tax to Original Price: To get the total price including the sales tax, we add the original price to the sales tax amount. This is represented by p+(0.03×p)p + (0.03 \times p).\newlineCalculation: p+0.03pp + 0.03p
  3. Simplify Total Price Calculation: We can factor out the pp to simplify the expression. This gives us p(1+0.03)p(1 + 0.03), which simplifies to 1.03p1.03p.\newlineCalculation: p(1+0.03)=1.03pp(1 + 0.03) = 1.03p

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