Interpreting function values in context. Game on.

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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Warm-upmedium

The function WW is defined by W(t)=40t+120W(t) = 40t + 120. The function models the number of gallons of water in a tank tt minutes after filling begins. Which of the following is the best interpretation of the statement "W(5)W(5) is equal to 320320" in this context?

Here tt is minutes after filling begins and W(t)W(t) is gallons in the tank. So W(5)=320W(5) = 320 means that 55 minutes after filling begins, the tank holds 320320 gallons.

Mid-gamemedium

The function TT is defined by T(d)=4d+86T(d) = -4d + 86. The function models the outdoor temperature, in degrees Fahrenheit, dd days after a cold front arrives. The domain of the function is 0d100 \le d \le 10. Which of the following is the best interpretation of the statement "T(3)T(3) is equal to 7474" in this context?

In this model, dd is days after the cold front arrives and T(d)T(d) is the temperature in degrees Fahrenheit. So T(3)=74T(3) = 74 means that 33 days after the cold front arrives, the temperature is 7474 degrees Fahrenheit.

Mid-gamemedium

The function AA is defined by A(t)=160(12)tA(t) = 160\left(\dfrac{1}{2}\right)^{t}. The function models the amount, in milligrams, of a medicine remaining in a patient's bloodstream tt half-life periods after the dose is taken. Which of the following is the best interpretation of the statement "A(3)A(3) is equal to 2020" in this context?

In this model, tt is the number of half-life periods after the dose and A(t)A(t) is milligrams remaining. So A(3)=20A(3) = 20 means that after 33 half-life periods, 2020 milligrams of the medicine remain.

Mid-gamemedium

The function BB is defined by B(y)=2,500(1.06)yB(y) = 2{,}500(1.06)^{y}. The function models the balance, in dollars, of a savings account yy years after it was opened. The domain of the function is 0y120 \le y \le 12. Which of the following is the best interpretation of the statement "B(4)B(4) is approximately equal to 3,1563{,}156" in this context?

Here yy is years after the account was opened and B(y)B(y) is the balance in dollars. So B(4)3,156B(4) \approx 3{,}156 means that about 44 years after the account was opened, the balance is approximately 3,1563{,}156 dollars.

Mid-gamemedium

The function hh is defined by h(t)=16t2+64t+5h(t) = -16t^{2} + 64t + 5. The function models the height, in feet, of a baseball tt seconds after it is hit. Which of the following is the best interpretation of the statement "h(2)h(2) is equal to 6969" in this context?

In this model, tt is seconds after the ball is hit and h(t)h(t) is height in feet. So h(2)=69h(2) = 69 means that 22 seconds after the ball is hit, its height is 6969 feet.

Mid-gamemedium

The function PP is defined by P(x)=2x2+40x50P(x) = -2x^{2} + 40x - 50. The function models the profit, in dollars, from selling xx handmade notebooks at a school fair. The domain of the function is 0x200 \le x \le 20. Which of the following is the best interpretation of the statement "P(5)P(5) is equal to 100100" in this context?

Here xx is the number of notebooks sold and P(x)P(x) is profit in dollars. So P(5)=100P(5) = 100 means that when 55 notebooks are sold, the profit is 100100 dollars.

Mid-gamemedium

The function HH is defined by H(x)=x2+12x20H(x) = -x^{2} + 12x - 20. The function models the height, in feet, of an arched walkway at a horizontal distance of xx feet from the left end of the arch. The domain of the function is 2x102 \le x \le 10. Which of the following is the best interpretation of the statement "H(4)H(4) is equal to 1212" in this context?

In this model, xx is the horizontal distance from the left end and H(x)H(x) is the height of the arch in feet. So H(4)=12H(4) = 12 means that 44 feet from the left end, the arch is 1212 feet high.

Buzzer beatermedium

The function RR is defined by R(n)=6n+15R(n) = 6n + 15. The function models the cost, in dollars, of printing nn posters for a student club. Which of the following is the best interpretation of the statement "R(7)R(7) is equal to 5757" in this context?

Here nn is the number of posters printed and R(n)R(n) is the cost in dollars. So R(7)=57R(7) = 57 means that when 77 posters are printed, the cost is 5757 dollars.

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