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

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.B.5

Interpret the point (12, 100)

Tags

CCSS.HSF.IF.B.4

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

Tags

CCSS.HSF.LE.B.5

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.

Tags

CCSS.HSF.LE.B.5

After how many cakes will Dorothy run out of eggs?

How do you know?

Tags

CCSS.HSF.IF.A.2

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?

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.

Tags

CCSS.HSF.LE.B.5