Linear coefficient interpretations is a grade 8 math skill aligned to Common Core standard 8.F.B.4: construct a function to model a linear relationship between two quantities; determine the rate of change and initial value of the function. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 linear coefficient interpretations problems our math games drill.
A tutoring center charges a one-time registration fee plus a fixed amount for each lesson. Let be the number of lessons and be the total cost in dollars. The situation is modeled by . Which is the best interpretation of the number in this equation?
In , the coefficient of is the rate of change of cost per lesson, so is the cost in dollars of each lesson.
A tutoring center charges a one-time registration fee plus a fixed amount for each lesson. Let be the number of lessons and be the total cost in dollars. The situation is modeled by . Which is the best interpretation of the number in this equation?
When , , so is the registration fee paid before any lessons.
A plumber charges a flat fee for a service visit plus a fixed amount per hour of work. Let be the number of hours worked and be the total charge in dollars. The situation is modeled by . Which is the best interpretation of the number in this equation?
The coefficient of is the hourly rate, so is the charge in dollars for each hour of work.
A student already has in a savings account and deposits the same amount each week. Let be the number of weeks and be the account balance in dollars. The situation is modeled by . Which is the best interpretation of the number in this equation?
The coefficient of is , so is the amount deposited each week in dollars.
A school play sells adult tickets and child tickets. Let be the number of adult tickets sold and be the number of child tickets sold. The total revenue in dollars is modeled by . Which is the best interpretation of the number in this equation?
The number of child tickets sold is multiplied by because the tickets cost each.
A bakery uses flour to make muffins and cookies. Let be the number of muffins baked and be the number of cookies baked. The total ounces of flour used is modeled by . Which is the best interpretation of the number in this equation?
Each muffin uses ounces of flour, so the number of muffins is multiplied by .
A candle is inches tall when lit and burns down at a constant rate. Let be the time in hours and be the candle height in inches. The situation is modeled by . Which is the best interpretation of the number in this equation?
The slope is inches per hour, so the candle loses inch of height each hour.
A furniture order uses screws to assemble tables and chairs. Let be the number of tables and be the number of chairs. The total screws used is modeled by . Which is the best interpretation of the number in this equation?
Each chair uses screws, so is the number multiplied by the number of chairs ordered.
Questions like these are served inside our head-to-head math games.
The free placement test finds your level, then every match serves linear coefficient interpretations questions at exactly the right difficulty.
