Interpret Expressions Worksheets Grade 9

1. Aisha is analyzing the growth of a bacteria culture in her biology lab. The population P after t hours is modeled by the function P(t) = 500 * 2^(t/3). She needs to determine how long it will take for the bacteria population to reach 4000. Write an equation and solve for t.
2. Noah's rocket height is modeled by h(t) = -16t² + 48t + 64 where t represents time in seconds. What quantity does the constant term 64 represent in this context?
3. Olivia's company profit is modeled by P(t) = -5t² + 40t + 50, where t represents time in years since the company started. What does the constant term 50 represent in this context?

…and 4 more problems

1. Charlotte is designing a pattern for a mural. The pattern consists of a large square divided into smaller squares. The side length of the large square is (3x + 7) inches. Inside it, there is a shaded square whose side length is (x + 2) inches. The expression representing the area of the unshaded region (the part of the large square not covered by the shaded square) is (3x + 7)^2 - (x + 2)^2. What quantity does the term (x + 2)^2 represent in the context of this mural?
2. Noah's rocket height is modeled by h(t) = -4.9t² + 49t + 2.5, where t is time in seconds. What quantity does the constant term 2.5 represent in this context?
3. Mere's smartphone data plan charges a base fee of $12 plus $0.04 per megabyte used. The expression 12 + 0.04m represents the total monthly cost. What quantity does the number 0.04 represent in this context?

…and 5 more problems

1. Moana is studying a ball thrown upward. The height of the ball in meters after 3 seconds is given by the expression -5*3*3 + 30*3 + 10. Interpret the expression to explain what the quantity 10 represents in this context.
2. The total cost C (in dollars) for Oliver's school club to produce 166 custom T-shirts is given by C = 20x + 182. In this expression, what quantity does the term 182 represent?
3. Liam's water tank initially contains 50 gallons of water. A pump adds water at a rate of 5 gallons per minute. The expression 50 + 5t represents the total amount of water in the tank after t minutes. What quantity does the number 5 represent in this context?

…and 5 more problems