Piecewise Word Problems

Use the graph above to determine the cost of 40 shirts:

• $10

• $15

• $40

• $100

Your cell phone plan costs $75 dollars a month and gives you unlimited talk and 500 text messages per month. After 500 text messages it costs $0.10 per text you send.

Is this the correct piecewise function?

• Yes

• No

Is this the correct piecewise function for the below statement? If you earned up to $165,000 a country taxes you at a rate of 7.6%. If you earned over $165,000 and up to $600,000, you paid a fixed amount of $8,124. Write a piecewise function to represent the taxes paid in dollars between $0 and $600,000.

• Yes

• No

Suppose a carpet store sells carpet for $10 per square yard yard for the 100 sq yards purchased, and then lowers the price to $7 per square yard after the first 100 yards have been purchased. Find a function, C = f(x), that gives the cost of purchasing any number of square yards of carpet between 0 and 200 square yards. Is this the correct piecewise function for this statement?

• Yes

• No

How much does it cost for 50 square yards?

• $500

• $50

• $350

• $400

Suppose a carpet store sells carpet for $10 per square yard for the 100 sq yards purchased, and then lowers the price to $7 per square yard after the first 100 yards have been purchased.

How much does it cost for 170 square yards?

• $490

• $1000

• $1,490

• $1,680

Your cell phone plan costs $75 dollars a month and gives you unlimited talk and 500 text messages per month. After 500 text messages it costs $0.10 per text you send. If you were to create a piecewise function, what would the input, x represent? What would the output, f(x) represent?

• x represents the number of text messages sent.

  f(x) represents the cost of the cell phone plan.

• x represents the cost of the cell phone plan.

  f(x) represents the number of text messages sent.

Determine the input, x, and the output, f(x), in the following piecewise function scenario. If you earned up to $165,000 a country taxes you at a rate of 7.6%. If you earned over $165,000 and up to $600,000, you paid a fixed amount of $8,124. Write a piecewise function to represent the taxes paid in dollars between $0 and $600,000.

• The input, x, represents the taxes paid in dollars.

  The output, f(x), represents the person's salary

• The input, x, represents the person's salary.

  The output, f(x), represents the taxes paid in dollars.

What is the input, x, represent?

What does the output, f(x), represent?

Suppose a carpet store sells carpet for $10 per square yard yard for the 100 sq yards purchased, and then lowers the price to $7 per square yard after the first 100 yards have been purchased. Find a function, C = f(x), that gives the cost of purchasing any number of square yards of carpet between 0 and 200 square yards.

• The input, x, represents the number of square yards sold.

  The output, f(x), represents the cost of the purchase.

• The input, x, represents the cost of the purchase.

  The output, f(x), represents the number of square yards sold.

Write the first line of the piecewise statement from the bolded phrase below:

Suppose a carpet store sells carpet for $10 per square yard for the 100 sq yards purchased, and then lowers the price to $7 per square yard after the first 100 yards have been purchased.