Question

the graph shows the relationship between the price of an item in dollars and the amount of sales tax. based on the graph, what does the point (30, 2.85) mean in this context? a. the unit rate of the relationship is 30% b. the unit rate of the relationship is 2.85% c. an item with a price of $30 has a sales tax of $2.85 d. an item with a price of $2.85 has a sales tax of $30

Explanation:

Step1: Analyze the coordinate meaning

In a coordinate \((x,y)\), \(x\) represents the price of the item and \(y\) represents the sales tax.
For the point \((30,2.85)\), \(x = 30\) (price of item) and \(y=2.85\) (sales tax).

Step2: Evaluate each option

• Option a: The unit rate of a relationship in the context of price and sales - tax is calculated as \(\frac{y}{x}\times100\%\). Here \(\frac{2.85}{30}\times 100\%=9.5\%

eq30\%\).

• Option b: \(\frac{2.85}{30}\times 100\% = 9.5\%

eq2.85\%\).

• Option c: Since \(x = 30\) (price of item) and \(y = 2.85\) (sales tax), an item with a price of \(\$30\) has a sales tax of \(\$2.85\).
• Option d: The \(x\) - value represents the price of the item and the \(y\) - value represents the sales tax. So it's not that an item with a price of \(\$2.85\) has a sales tax of \(\$30\).

Answer:

C. An item with a price of \$30 has a sales tax of \$2.85