select the correct answer. the price of a pair of shoes is $63.20. the sales tax rate is 4.5 percent. how…

select the correct answer. the price of a pair of shoes is $63.20. the sales tax rate is 4.5 percent. how much sales tax would you pay if you bought these shoes? a. $2.84 b. $3.16 c. $4.50

select the correct answer. the price of a pair of shoes is $63.20. the sales tax rate is 4.5 percent. how much sales tax would you pay if you bought these shoes? a. $2.84 b. $3.16 c. $4.50

Answer

Explanation:

Step1: Convert percentage to decimal

To use the sales - tax rate in a calculation, convert 4.5% to a decimal. We do this by dividing 4.5 by 100, so $4.5%=\frac{4.5}{100}=0.045$.

Step2: Calculate sales tax

Multiply the price of the shoes by the sales - tax rate (in decimal form) to find the sales tax. Let the price of the shoes be $P = 63.20$ and the sales - tax rate be $r=0.045$. Then the sales tax $T$ is $T = P\times r=63.20\times0.045$. $63.20\times0.045=(63 + 0.2)\times0.045=63\times0.045+0.2\times0.045$. $63\times0.045=(60 + 3)\times0.045=60\times0.045+3\times0.045=2.7+0.135 = 2.835$, and $0.2\times0.045 = 0.009$. $T=2.835+0.009=2.844\approx2.84$.

Answer:

A. $2.84$