Linear, Nonlinear, Slope Review (TCAP 8)

Consider the graph of a function. Which statement is true?

• When x is between -6 and -5, the function is linear and increasing.

• When x is between -5 and -3, the function is nonlinear and increasing.

• When x is between -3 and 5, the function is linear and decreasing.

• When x is between 5 and 7, the function is nonlinear and decreasing.

Nine golf team members each buy a matching team shirt for a total of $360. Which graph best represents the proportional relationship between the total cost, y, in dollars, and the number of team shirts purchased, x?

• A

• B

• C

• D

A pet owner records the weight of a new puppy each day for a month. The data can be represented by the linear model y = 0.15x + 3.2, where x represents the number of days since the beginning of the month, and y represents the total weight of the puppy, in pounds. Which statement is true?

• Based on the linear model, the total weight of the puppy at the beginning of the month is approximately 0.15 pound, and each day the puppy’s weight is expected to DECREASE by an average of 3.2 pounds.

• Based on the linear model, the total weight of the puppy at the beginning of the month is approximately 0.15 pound, and each day the puppy’s weight is expected to INCREASE by an average of 3.2 pounds.

• Based on the linear model, the total weight of the puppy at the beginning of the month is approximately 3.2 pounds, and each day the puppy’s weight is expected to DECREASE by an average of 0.15 pound.

• Based on the linear model, the total weight of the puppy at the beginning of the month is approximately 3.2 pounds, and each day the puppy’s weight is expected to INCREASE by an average of 0.15 pound.

• Student 1 is the only student to write a true statement.

• Student 1 and Student 4 are the only students to write a true statement.

• Student 2 and Student 3 are the only students to write a true statement.

• Student 2 and Student 4 are the only students to write a true statement.

Part A: What is the rate of change?

• 0.0625

• 0.125

• 0.5

• 0.025

Part B: This means that Billy runs...

• an additional 0.125 of a mile for each minute run

• an additional 0.625 of a mile for every minute run

• 0.125 more minutes for every mile run

• 0.625 more minutes for every mile run

Part C: The equation of the line that models the linear relationship is:

• y = 0.125x
• y = 0.625x

• y = 0.125x + 5

• y = 0.625x + 5

Marsha's typing rate is shown in the graph. Clay's typing rate in shown in the table. Based on this information, which statements are true?

• Clay types at a rate of 18 words per minute, which is faster than Marsha.

• Marsha types at a rate of 16 words per minute, which is faster than Clay.

• Clay types 2 more words per minute than Marsha.

• Marsha and Clay type at the same rate, 18 words per minute.

For $1200, a company can post an advertisement for 30 days. For $1500, the advertisement will be posted for 60 days. The relationship comparing cost to days is linear. Which function can be used to model the relationship between cost, y, and the number of days, x, that an advertisement will be posted?

• y = 300x + 1200

• y = 1200x + 300

• y = 10x + 900

• y = 900x + 10

Which statements about the cost to rent a bicycle at this state park are true?

• The initial fee to rent a bicycle is $8.

• The initial fee to rent a bicycle is $2.

• The hourly rate to rent a bicycle is $8.

• The hourly rate to rent a bicycle is $2.

• The total cost to rent a bicycle for 10 hours is $80.