Question

6
directions: use the drawing tool(s) to form the correct answer on the provided graph.
raymonds department store sells dress shirts for $14.99. the cost to produce one dress shirt is $9.99 plus a one-time fee of $90.00.
$y = 9.99x + 90.00$
$y = 14.99x$
at what point would the revenue be equal to the cost of producing the dress shirts?
place the solution point of the system of equations on the graph below. round all values to the nearest whole number.
(graph and drawing tools interface as shown, with the graph titled revenue vs. cost of dress shirts and y-axis labeled price in dollars with values 90, 120, 150, 180, 210, 240, 270, 300)

Explanation:

Step1: Set equations equal

To find when revenue equals cost, set \(9.99x + 90.00 = 14.99x\).

Step2: Solve for \(x\)

Subtract \(9.99x\) from both sides: \(90.00 = 5x\). Then \(x=\frac{90.00}{5}=18\).

Step3: Find \(y\)

Substitute \(x = 18\) into \(y = 14.99x\): \(y=14.99\times18\approx270\) (rounded).

Answer:

The solution point is \((18, 270)\) (rounded to nearest whole numbers).