Interpreting Linear Functions Real World Examples

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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Interpret the point (12, 100)

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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

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.

After how many cakes will Dorothy run out of eggs?

How do you know?

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You plan to attend the county fair this weekend. Admission to the fair is $5 and the cost per ride is $0.50. Check off ALL of the following that are true.

• y = 0.5x + 5 will tell me how much I will spend on x rides

• After 3 rides I will spend $1.50

• If I go on NO rides I still have to pay $5 to get in.

• After 3 rides I will spend $6.50

• The slope is $5 per ride

Why does this graph NOT match the function provided?

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Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?

• Ms. Brackemyer starts with 8 pencils and ends with 52.

• After 8 days, Ms. Brackemyer has 52 pencils.

• Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

• Every day, Ms. Brackemyer gets 4 new pencils until she has 52.