Drag each expression or equation to the correct location on the table. Not all expressions or equations will be used.

The table below shows proportional relationships and a matching proportional equation. Complete the table.
The%20text%20reads%2C%2038%20canes%20for%2012.54%20dollars
The%20text%20reads%20%2C%20233%20pencils%20for%2053.%2059%20dollars
The%20text%20reads%2C%20t%20equals%200.23%20n%20dollars
The%20text%20reads%2C%20t%20equals%200.77%20n%20dollars
The%20text%20reads%2C%20t%20equals%200.95%20n%20dollars.
The%20text%20reads%20equals%200.98%20n%20dollars.
The%20text%20reads%2C%20t%20equals%201.11%20n%20dollars
The%20text%20reads%2C%2017%20pillows%20for%2017.51%20dollars

1 answer

To complete the table with the appropriate expressions or equations for proportional relationships and their corresponding proportional equations, we'll find the unit prices from the given quantities and prices, and then identify which equations match those relationships.

Calculating unit prices:

  1. 38 canes for 12.54 dollars:

    • Unit Price = 12.54 / 38 ≈ 0.33
    • Equation: \( t = 0.33n \)
  2. 233 pencils for 53.59 dollars:

    • Unit Price = 53.59 / 233 ≈ 0.23
    • Equation: \( t = 0.23n \)
  3. 17 pillows for 17.51 dollars:

    • Unit Price = 17.51 / 17 ≈ 1.03
    • Equation: \( t = 1.03n \)

Now let's put these into the table according to their proportional formulas:

Proportional Relationships | Matching Equations

----------------------------------|--------------------------- 38 canes for 12.54 dollars | t = 0.33n dollars 233 pencils for 53.59 dollars | t = 0.23n dollars 17 pillows for 17.51 dollars | t = 1.03n dollars

Given Equations:

  • t = 0.23n dollars (from 233 pencils)
  • t = 0.33n dollars (from 38 canes)
  • t = 1.03n dollars (from 17 pillows)

Note: Based on the options you've provided, only the "t = 0.23n dollars" is explicitly among those provided, so we'll assign this value and process the others as per unit pricing requires.

If further refinement or specification from provided expressions or equations is needed, please clarify, and I'll match them to their appropriate pairs based on values computed.