Linear functions and linear equations


Question 1.

A coin-operated clothes dryer requires 50 cents to get started and $1 for each 15 minutes of drying time.
a) Express the cost of drying a load of laundry as a function of the time t in hours.

b) What is the cost per hour?

c) Because the dryers operate at close to room temperature, a typical load requires two hours of drying time. How much does this cost?

Question 2.

Find the equation of the line through the two points (-3,-6) and (1,-1).

Question 3.

Earl is ordering supplies. Yellow paper costs $5.00 per ream while white paper costs $6.50 per ream. He would like to order 100 reams total and has a budget of $650. How many reams of each color should he order?

Question 4.

The graph below shows the percentage of energy supplied to the body by carbohydrates during treadmill running.

a. Estimate the slope of the line.

b. Find an equation for the line in slope intercept form.
Question 5.

Solve the system of equations:
				3x + 5y = 0
				2x + 3y = 1

Question 6.
SET UP THE SYSTEM OF EQUATIONS NEEDED TO SOLVE.
A 747 seats 400 passengers and is priced at $150 million each. A 777 seats 300 passengers and cost $105 million. You are the purchasing manager of an airline and have a $1.605 billion budget to purchase new aircraft to seat a total of 4,500 passengers. How many of each type plane should you order.

Question 7.

The equation of "best linear fit" y = mx + b is determined by solving the system of equations:

Consider the data points: (1, 3), (2, 4), (3, 1), (4, 2).
a. Set up the specific system of equations that must be solved to find the "best fit" to the data above.
b. Solve the system of equations in Part a.

c. Write the equation for the line of "best fit".


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