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Word problems/Function notes absent copy Thurs/Fri 4/11,12

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Word problems/Function notes absent copy Thurs/Fri 4/11,12.

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Function and its rulesA function is a set of ordered pairs (x,y) so that each x value we pick corresponds to exactly one y value after we solve.Ex: y = 2x + 3 (2,7) 7 = 2(2) + 3 7 = 4 + 3 7 = 7 y = 2x + 9Function ruleoutput = y input = x

Example 1
• A taxi driver charges a flat rate of 2 dollars to ride in a cab. He also charges 1 dollars for every mile that he has to drive. Write an equation that represents a person that travels from 1 to 3 miles in a cab and how much it costs for each ride. Hint: y = total cost and x = the number of miles the taxi drove.

y = 1x + 2

• How do we write the equation of a line in slope intercept form?
• Y = mx + b
• What is the constant (b) that never changes in the word problem?
• b = 2
• What is the slope (m) in this word problem.
• m = 1
• What input (X) do we have to substitute in to the linear equation in order to find the total cost (output, Y) for each ride?
• 1 to 3 can be put in for the input.
Graph example 1
• Show the work from example 1 Below.

1. y = 1(1) + 2

y = 1 + 2

y = 3 (1,3)

• Y = 1(2) + 2

y = 2 + 2

y = 4 ( 2,4)

• Y = 1(3) + 2

y = 3 + 2

y = 5 ( 3,5)

Example 2
• Shasta pays \$1 for a can of dog food each day. She also pays \$2 for each cookie she buys. Write an equation that represents Shasta buying 1 to 3 cookies and how much is her total treat fee.

y = 2x + 1

• How do we write the equation of a line in slope intercept form?
• Y = mx + b
• What is the constant (b) that never changes in the word problem?
• b = 1
• What is the slope (m) in this word problem.
• m = 2
• What input (X) do we have to substitute in to the linear equation in order to find the total cost (output, Y) for each ride?
• 1 to 3 cookies is the input
Graph from Example 2
• Show the work from example 2 Below.
• 1. y = 2(1) + 1

y = 2 + 1

y = 3 (1,3)

• 2. y = 2(2) + 1

y = 4 + 1

y = 5 (2,5)

• 3. y = 2(3) + 1

y = 6 + 1

y = 7 (3,7)