State sales tax is based on retail price.An item that sells for $180.99 has a sales tax of $17.4.Find a mathematical model that gives the amount of sales tax y in terms of the retail price x.Use the model to find the sales tax on a $589.99 purchase.(Round your answer to four decimal places.)
A) $y = 10.4017 x ; \$ 56.72$
B) $y = 0.0961 x ; \$ 56.72$
C) $y = 0.0961 x ; \$ 589.99$
D) $y = 0.0961 x ; \$ 6,137$
E) $y = 10.4017 x ; \$ 6,137$

Question

State sales tax is based on retail price.An item that sells for $180.99 has a sales tax of $17.4.Find a mathematical model that gives the amount of sales tax y in terms of the retail price x.Use the model to find the sales tax on a $589.99 purchase.(Round your answer to four decimal places.)  
A) $y = 10.4017 x ; \$ 56.72$
B) $y = 0.0961 x ; \$ 56.72$
C) $y = 0.0961 x ; \$ 589.99$
D) $y = 0.0961 x ; \$ 6,137$
E) $y = 10.4017 x ; \$ 6,137$

Quizplus · Accepted Answer

To find the mathematical model, divide the sales tax by the retail price: $17.4 / $180.99 = 0.0961. Thus, $y = 0.0961x$. For a $589.99 purchase, the sales tax is $0.0961 \times 589.99 \approx 56.72$.

State Sales Tax Is Based on Retail Price y=10.4017x;$56.72y = 10.4017 x ; \$ 56.72y=10.4017x;$56.72

State Sales Tax Is Based on Retail Price $y = 10.4017 x ; \$ 56.72$