161 15 14 13 12 4 6 8 10 12 14 16 18 20 2: 104 The per capita consumption of breakfast cereal in the US has the following model that appears above C(t ) = -0.0034+ + 0.09t- - 0.341t + 11.85 pounds, where t is the number of years since 1990. Decide whether the rate of consumption was changing more rapidly in 2004 or 2009. C' (14) = lbs/year C'(19) = lbs/year The rate was changing more rapidly in . 20040 2009404 30 20 10- 10 20 30 40 50 60 70 80 90 100 110 120 Q The daily receipts R( t ) in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012 has an exponential model shown above with the following equation. R(t) = 64.529 - 0.95. Interpret R( 91 ) = 0.606. O The receipts 91 days after the opening were $0.606. O The receipts 91 days after the opening were 0.606 million. O The receipts 91 days after the opening were $0.606 million. Interpret R'(91) = - 0.031. O The receipts 91 days after the opening were decreasing by 0.031 million. O The receipts 91 days after the opening were increasing by 50.031 million per day. O The receipts 91 days after the opening were decreasing by 0.031 million per day. O The receipts 91 days after the opening were decreasing by 0.031. O The receipts 91 days after the opening were decreasing by 50.031 million per day.1680 1610- 1540- 1470 1400- 1330 1260 1190 1120- 1050- 980 10 15 20 25 30 The monthly salary S( t ) in dollars for a dock worker shown above has the following cubic model. S(t) = 0.178+ -8.15t- + 101.8t + 993 where t is the number of years after 1980 Interpret S( 15 ) = 1287 O The salary in 1995 was 1287. The monthly salary in 1995 was 1287. O The monthly salary in 1995 was $1287. Interpret S'(15) = - 22.55 O The monthly salary in 1995 was increasing by $22.55 per year.Given f(x) = 7vx + 6, find f (@) using the limit definition of the derivative. f'(x)=\fUse the limit definition of the derivative to find the instantaneous rate of change of f(x) = 5x- + 2x + 7 at 1 = 1