WARMUP NOTES APPLICATIONS OF LINEAR EQUATIONS Slope as

WARM-UP

NOTES: APPLICATIONS OF LINEAR EQUATIONS Slope as a rate of change: Gary and Sally can sell firewood for $150 per cord. Write a model that relates their revenue to the amount of wood sold.

DEPRECIATION A $800 laptop has a lifespan of 5 years. If the laptop depreciates by $150 each year, write a model that describes the computer value by year. Then calculate the value of the laptop after 5

MAKING A MODEL FROM DATA Use the following table to create a linear model for the sales data: Volum 120 e Sold 150 170 200 250 280 300 350 400 Net 9600 Reven ue 12350 13500 15800 19900 23000 24000 27000 30000

MAKING MODELS • O. D. M. Distributors decides to buy a new delivery truck, which costs $75, 000. The truck will take in $50/hour. The driver is paid $15 per hour and the truck costs $7 per hour in fuel/maintenance to run. • How many hours will it take until O. D. M. pays off the initial cost of the truck?

APPLICATION A ski hill has a slope of 20%, meaning that there is a 20 yard vertical drop for each 100 horizontal yards traveled. How much vertical drop is there if you ski a run that is 1500 yards long?

HOMEWORK Worksheet: 1. 3 Linear Modeling

EXIT PROBLEM What is the best movie of all time? Explain your answer.

EXIT PROBLEM • Find the slope between these two points: (1, 1) and (3, 6)