Interpreting Functions in Context

Write a function for this graph

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What is a slope that is perpendicular to this line?

Give your answer as a fraction.

The graph shows the height (cm) of a candle as it burns, what is the y intercept and what does the y-intercept mean?

• b=9, Candle starts at 9 cm.

• b=9, the candle burns 9 inches per hour.

• b=2, the candle burns 2 inches per hour.

• b = 5, The candle ends at 5 cm

Jenny says that this mapping diagram DOES NOT represent a function because the inputs of -1, 1 and, 0 share an output of 0.

Explain why you agree or disagree with Jenny.

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Which situation below is representative of y-intercept?

• Saving $300 per month

• Starting your day with $30 in your wallet

• Spending $3 per ride at the fair

• Paying $2 for parking every day

Sandra has a $20 itunes gift card and spends $3 each month.

Write the equation to represent how much money Sandra has left on the gift card after x months.

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Dorothy loves to make cakes. The following table shows how the number of eggs that she has left changes as she makes cakes.

Interpret the y- intercept in context

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The equation y=10x represents the amount of allowance, y, in dollars, that Jacob receives for doing x hours of chores. Which statement interprets the slope of this equation?

• Jacob does chores for $0 per hour.

• Jacob does chores for $10 per hour.

• Jacob receives $0 of allowance money before doing any chores.

• Jacob receives $10 of allowance money before doing any chores.

Interpret the point (12, 100)

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Derek works at Subway making $9.25 an hour.  The function d(x)=9.25x tells us how much money Derek makes after x hours of working.  What is the meaning of d(4)=37?

• After 4 hours of work, Derek makes $37.

• Derek needs $4 more to have $37 total.

• After working for 4 days, Derek makes $37 total.

• After 4 hours of work, Derek now makes $37 an hour instead of $9.25.