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Slide 1

A jogger runs away from campus at a steady rate, stops to talk to some friends, runs away from campus for a little longer, and then returns to campus. Which graph below could show the jogger’s distance as a function of time?

Slide 2

Concept Test

Suppose the average rate of change of jobs in Caddo Parish with respect to time is 10,000 jobs/year for the period from 1995 to 2005. Which statement is most accurate?

Each year, the number of jobs increased by 10,000.

The number of jobs never decreased.

Both A) and B)

Neither A) nor B)

Slide 3

Concept Test: Which slope is largest?

Slide 4

Concept Test

Given the graph on the right of y = f(x), which of the below numbers is most positive?

A: f(2) – f(0)

B: the average rate of change of f from x = 0 to x = 2

C: the average rate of change from x = -2 to x = 0

Slide 5

Concept Test

All four linear functions below are graphed on the right. Which one is the red line?

A: y = 4 + x

B: y = 4 – 2x

C: y = 2 – 2x

D: y = 2 – 4x

Slide 6

Three cars have the following functions that give the total cost of ownership as a function of the number of miles traveled:

Car A: y = 15,000 + .14 n

Car B: y = 28,000 + .20 n

Car C: y = 22,000 + .09 n

Which car was most expensive to purchase?

Which car is the cheapest to operate per mile?

After 60,000 miles, which car has had the lowest cost of ownership?

Slide 7

Concept Test

(Multiple answers possible) Which of the below tables shows a linear function?

D: None of the above

Slide 8

Concept Test

For which functions is y not directly proportional to x?

For which functions is y not a linear function of x?

Slide 9

Concept Test

You have been offered three different jobs: job R has a base salary of $55,000 with annual raises of $2000, job S has a base salary of $45,000 with annual raises of $3200, and job T has a base salary of $48,000 with annual raises of $2000. Assuming you will be working at this job for many years, how should you rank the jobs according to the income you will receive?

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