MA.8.A.1.1 Create and interpret tables, graphs, and models to represent, analyze, and solve problems related to linear equations, including analysis of domain and range, and the difference between discrete and continuous data.

Benchmark Description Interpret tables, graphs, and models Problems are not to be solved abstractly Determine if data is discrete or continuous Find domain and range of data

Benchmark Description

Sandy conducted an experiment with sound waves in dry air at 20C Sandy conducted an experiment with sound waves in dry air at 20C. She observed that a linear relationship exists between the time and distance that sound travels under these conditions. She recorded her findings in the table below. Based on the information in the table, which of the following is a valid statement about Sandy’s recorded findings?

A catering service charges a $50 setup fee, plus a set amount per guest, to provide food and beverages for a dinner party. Below is a table that lists the total cost of a dinner party for a certain number of guests. What is the total cost, in dollars, if 75 guests attend a dinner party?

An airline has implemented a plan to reduce the occurrence of lost luggage. They have observed a linear relationship between the number of months the plan has been in place and the number of pieces of lost luggage. The airline recorded their findings in the table below. Which statement describes the data in the table?

Ingrid has determined there is a linear relationship between how far up the hill she starts skiing and the length of her jump on a ski jump. She has recorded her data in the table below. Ingrid decides to do a jump starting 90 feet up the hill. Based on her data, how far can she expect to jump?

A bicycle rental company charges a fee of $8 plus $4 an hour to rent a bicycle. Which graph could be used to find the cost of renting a bicycle for five hours?

At ABC Bowling Lanes, the group rate is $30 plus x dollars per bowler At ABC Bowling Lanes, the group rate is $30 plus x dollars per bowler. The group rate also covers the cost for shoes and a bowling ball. The table below shows the total cost for three games of bowling for different numbers of bowlers. What is the rate (x) per bowler?

A car rental agency charges a one-time deposit of $55 plus a daily fee of $27 to rent an economy car. If this is represented by a function, where the rental cost c depends upon the number of days d that the car is rented, which value is in the range? $27 $81 $108 $136

Benchmark questions were obtained from: Floridastandards.org FCAT Focus Mastering the NGSSS – 8th Grade

Discrete or Continuous? ? ?

Hair color Discrete, categorical

Light Intensity Continuous

Gender Discrete, categorical

Age Continuous

Species of Animal Discrete Categorical

Time Continuous

Body Size Continuous

Types of plants in a marsh Discrete, categorical