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Chapter 4: Q. 136 (page 453)

Weekly earnings. At the art gallery where he works, Salvador gets paid \(200 per week plus 15% of the sales he makes, so the equation y=200+0.15xgives the amount, y , he earns for selling x dollars of artwork. Calculate the amount Salvador earns for selling \)900, \(1600, and \)2000, and then graph the line.

Short Answer

Expert verified
  • The amount earns for selling $900, $1600, and $2000 are $335, $440 and $500 respectively.
  • The graph is as follows,

Step by step solution

01

Step 1. Given Information.

The equation y=200+0.15xgives the amount earned by Salvador, for selling x dollars of artwork.

  • Find the amount earns for selling $900, $1600, and $2000.
  • Graph the line.
02

Step 2. Explanation.

Find the amount earns for selling

Let x=900,

role="math" localid="1647411886683" y=200+0.15xy=200+0.15900y=335

Let x=1600,

role="math" localid="1647412224156" y=200+0.15xy=200+0.151600y=440

Let x=2000,

y=200+0.15xy=200+0.152000y=500

The amount earns for selling $900, $1600, and $2000 are $335, $440 and $500 respectively.

03

Step 3. Draw the graph.

Selling amount can not be negative. So domain of the function is x|x鈮�0The graph is as follows,

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