Illustrative Math - Algebra 1 - Unit 4 - Lesson 16

Here are two equations that relate two quantities, p and Q:Q=7p+1,999p=\frac{Q-1,999}{7}Select all statements that are true about p and Q.

• {"blocks":[{"key":"65nse","text":"Q= 7p +1,999 could represent a function, but p=\\frac{Q-1,999}{7} could not.","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":12,"key":0},{"offset":44,"length":21,"key":1}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}},"1":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• Each equation could represent a function.
• {"blocks":[{"key":"0","text":"p=\\frac{Q-1,999}{7} could represent a function, but Q= 7p +1,999 could not.","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":19,"key":0},{"offset":52,"length":12,"key":1}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}},"1":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• The two equations represent two functions that are inverses of one another.
• {"blocks":[{"key":"clnp9","text":"If Q= 7p +1,999 represents a function, then the inverse function can be defined by p=\\frac{Q-1,999}{7}.","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":3,"length":12,"key":0},{"offset":83,"length":19,"key":1}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}},"1":{"type":"MATH","mutability":"MUTABLE","data":{}}}}

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A.CED.4

A.CED.2

Elena plays the piano for 30 minutes each practice day. The total number of minutes p that Elena practiced last week is a function of n, the number of practice days.Find the domain and range for this function.

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A.CED.4

A.CED.2