Interpreting function values in context is a grade 9 math skill aligned to Common Core standard HSF.IF.A.2: use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 interpreting function values in context problems our math games drill.
CCSS HSF.IF.A.210 questions in the bank
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1
Warm-upmedium
The function W is defined by W(t)=40t+120. The function models the number of gallons of water in a tank t minutes after filling begins. Which of the following is the best interpretation of the statement "W(5) is equal to 320" in this context?
Here t is minutes after filling begins and W(t) is gallons in the tank. So W(5)=320 means that 5 minutes after filling begins, the tank holds 320 gallons.
2
Mid-gamemedium
The function T is defined by T(d)=−4d+86. The function models the outdoor temperature, in degrees Fahrenheit, d days after a cold front arrives. The domain of the function is 0≤d≤10. Which of the following is the best interpretation of the statement "T(3) is equal to 74" in this context?
In this model, d is days after the cold front arrives and T(d) is the temperature in degrees Fahrenheit. So T(3)=74 means that 3 days after the cold front arrives, the temperature is 74 degrees Fahrenheit.
3
Mid-gamemedium
The function A is defined by A(t)=160(21)t. The function models the amount, in milligrams, of a medicine remaining in a patient's bloodstream t half-life periods after the dose is taken. Which of the following is the best interpretation of the statement "A(3) is equal to 20" in this context?
In this model, t is the number of half-life periods after the dose and A(t) is milligrams remaining. So A(3)=20 means that after 3 half-life periods, 20 milligrams of the medicine remain.
4
Mid-gamemedium
The function B is defined by B(y)=2,500(1.06)y. The function models the balance, in dollars, of a savings account y years after it was opened. The domain of the function is 0≤y≤12. Which of the following is the best interpretation of the statement "B(4) is approximately equal to 3,156" in this context?
Here y is years after the account was opened and B(y) is the balance in dollars. So B(4)≈3,156 means that about 4 years after the account was opened, the balance is approximately 3,156 dollars.
5
Mid-gamemedium
The function h is defined by h(t)=−16t2+64t+5. The function models the height, in feet, of a baseball t seconds after it is hit. Which of the following is the best interpretation of the statement "h(2) is equal to 69" in this context?
In this model, t is seconds after the ball is hit and h(t) is height in feet. So h(2)=69 means that 2 seconds after the ball is hit, its height is 69 feet.
6
Mid-gamemedium
The function P is defined by P(x)=−2x2+40x−50. The function models the profit, in dollars, from selling x handmade notebooks at a school fair. The domain of the function is 0≤x≤20. Which of the following is the best interpretation of the statement "P(5) is equal to 100" in this context?
Here x is the number of notebooks sold and P(x) is profit in dollars. So P(5)=100 means that when 5 notebooks are sold, the profit is 100 dollars.
7
Mid-gamemedium
The function H is defined by H(x)=−x2+12x−20. The function models the height, in feet, of an arched walkway at a horizontal distance of x feet from the left end of the arch. The domain of the function is 2≤x≤10. Which of the following is the best interpretation of the statement "H(4) is equal to 12" in this context?
In this model, x is the horizontal distance from the left end and H(x) is the height of the arch in feet. So H(4)=12 means that 4 feet from the left end, the arch is 12 feet high.
8
Buzzer beatermedium
The function R is defined by R(n)=6n+15. The function models the cost, in dollars, of printing n posters for a student club. Which of the following is the best interpretation of the statement "R(7) is equal to 57" in this context?
Here n is the number of posters printed and R(n) is the cost in dollars. So R(7)=57 means that when 7 posters are printed, the cost is 57 dollars.
Tests that cover interpreting function values in context: