PROBLEMS ON INTERPRETING LINEAR FUNCTIONS WORKSHEET

Problem 1 :

The drone in the Example hovers at 16 meters for a few minutes before being lowered at constant rate. It reaches the ground after 6 seconds.

a. Why can the drone's descent be modeled by a linear function?

b. The linear model of the drone's descent gives its height a function of time. Is the rate of change positive or negative?

c. What equation models the drone's descent as time increases? 

Solution

Problem 2 :

The Drama Club is selling tie-dye T-shirts as a fundraiser. They buy the dyeing materials for $60 and white T-shirts for $2.50 each. They sell the finished shirts for $10 each.

a. Write an equation for the money they spend y, as a function of the number of T-shirts they buy, x.

b. Write an equation for the money they collect, y, as a function of the number of T-shirts they sell, x.

c. Write an equation for their profit, y, as a function of the number of T-shirts they sell, x.

Solution

Problem 3 :

On his first birthday, Tomas was 30 inches tall. For the next year, he grew half an inch each month. What equation models his height during that year, y, as a function of the number of months, x.

Solution

Problem 4 :

Which savings plan can be modeled by y = 50x + 25? (choose one)

a. Start with $50. Save $25 each week.

b. Save $250 in 5 weeks for a total of $300.

c. Start with $25. The total saved after 5 weeks is $275.

d. The total saved is $25 the first week and $50 the second week.

Solution

Problem 5 :

The equation y = 0.15x + 0.40 represents the cost of mailing a letter weighing 1 ounce or more. In the equation x, represents the weight of the letter in ounces and y represents the cost in dollars of mailing the letter.

Fill in the blank:

a) In this situation, the _____ is a function of the  _____.

b) What is the cost of mailing a letter that weighs 3 ounces?

Solution