Slope, Linear Graph and Linear Function

Ryan is writing a composition for homework. He decides to keep track of the number of sentences he writes compared to the time in minutes he works. The graph below shows the data he collected.

At what rate does Ryan write his composition?

• 0.5 sentence per minute

• 1 sentence per minute

• 1.5 sentences per minute

• 2 sentences per minute

According to the graph, which statement best describe the slope?

• As the distance traveled increases by 20, the amount of gas in the tank decreases by 3

• As the distance traveled decreases by 3, the amount of gas in the tank increases by 20.

• As the distance traveled increases by 30, the amount of gas in the tank increases by 2.

• As the distance traveled decreases by 20, the amount of gas in the tank decreases by 30.

• The number of miles a person walks if he walks for 5 hours at the rate of 10 miles per hour.

• The total weight on a scale if 5 pounds is placed there initially and a series of 10 pound weights are added to it.

• The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips.

• The combined length of 5 boards, each 10 feet longer than the width of the doorway.

John collected data on the number of new movies produced in different years.

Suppose that the number of movies made in 2005 was 595, and the number of movies made in 2010 was 895.

What is the average rate of change in the number of new movies between 2005 and 2010?

• 50 movies per year

• 60 movies per year

• 300 movies per year

• 400 movies per year

Jorge graphed the line shown below.

What is the slope of the line?

Allyssa is enrolled in a public speaking class. Each week she is required to give a speech of greater length than the speech she gave the week before. The table below shows the lengths of several of her speeches.

If this trend continues, in which week will she give a 12 minute speech?

• 22

• 12

• 15

• 24

Brock is 6 feet tall. He climbs a ladder to paint some trim on his house. For each rung that he climbs, Brock is 1.2 feet higher above the ground. Which equation could you use to calculate the distance d from the top of Brock's head to the ground if r represents the number of ladder rungs he has climbed?

Each month Jessie's phone bill includes a $25 basic fee plus a charge of $0.07 per minute for the number of minutes of long distance calls she makes. Which equation best describes the total amount of Jessie's monthly bill, t, in terms of m, the number of minutes of long distance calls she makes?