Linear coefficient interpretations (SAT/PSAT 8/9/10) is a grade 8 math skill aligned to Common Core standard HSF.LE.B.5. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 linear coefficient interpretations (sat/psat 8/9/10) 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?
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 has a total ticket revenue of from adult tickets and child tickets. The situation is modeled by , where is the number of adult tickets sold and is the number of child tickets sold. 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 has ounces of flour to make muffins and cookies. The baker uses the equation to figure out how many muffins, , and how many cookies, , can be made. 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 has screws to assemble tables and chairs. The builder uses the equation to figure out how many tables, , and how many chairs, , can be assembled. 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.
A community garden has gallons of water to use for tomato plants and pepper plants each day. The gardener uses the equation to figure out how many tomato plants, , and how many pepper plants, , can be watered. Which is the best interpretation of the number in this equation?
Each tomato plant uses gallons of water, so the number of tomato plants is multiplied by .
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