Linear Equations

• A taxi ride has a flat rate call out fee of $3.50 and a charge of $1.50 for every kilometer travelled.

• a) Write an equation to represent the taxi fee• b) How much would you expect to pay for a trip of

15 km

A student is assigned a 3000–word paper for a class. He types 120 words in 4 minutes. At this rate how long will it take him to complete the paper?

A spring with a 75 g weight attached stretches 20 cm. How much weight is required to stretch the spring 144 cm?

(Hint: the increase in length varies directly with the weight)

Mr. S works as a waiter in a restaurant. He earns $1200 per month as a base salary, plus tips averaging 20% of the meals he serves. Write a linear model for the situation,

In American Football, a field goal earns 3 points and a touchdown (with extra point) earns 7. Assuming a team scores only in these two ways, and earns a total of 48 points, write an equation relating the number of field goals x with the number of touchdowns y. Write an equation.

The following table shows the number of CDs in Becky’s music collection over the years.

Make a scatter plot of this data. Write a linear model. What does the slope represent? Estimate the number of CDs Becky will have in 2010.

Year

2001

2002

2003

2004

2005

2006

2007

2008

CDS

9 20 32 42 52 66

Suppose you spend $30.00 on snacks for a party. The dried shrimp cakes cost $3.00 per pound and the chocolate–covered mushroom stems cost $4.50 per pound. Write an equation in standard form that represents the different amounts (in pounds) of shrimp cakes, S, and mushroom stems, M, you could buy.

If you buy 2 pounds of mushroom stems, how many pounds of shrimp cakes can you buy?

There is a population of 200 tigers in a national park. They are being illegally poached at the rate of 8 per year. Assume the population is otherwise unchanging, and write a linear model and graph it. What does the x–intercept signify? The perimeter of a fenced rectangular area is 75 m. Write a linear model relating the length and width. If the length is 5 m, find the width