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In Problems 30–35, the length of a plant, L, is a function of its mass, M, so L = f(M). A unit increase in a plant’s mass stretches the plant’s length more when the plant is small, and less when the plant is large. Assuming M > 0, decide if
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- 4. The growth rate of a colony of ants is given by the formula 10t 2 (1+t²)² where t is measured in hours. If 100 ants are initially present then how many are present after 2 hours? The number of ants present after 2 hours isarrow_forward1. A room with a volume of 5000 ft3 is full of air which contains 2% (CO). Pure air containing no (CO) is pumped into the room at the rate of 200 cubic feet per minute, and the well-mixed air is vented from the room at the same rate. a. Find the equation that models the amount of (CO), x(t), in ft3, which is in the room, as a function of time. b. How long will it take for the concentration of (CO) in the room to reach 0.01%?arrow_forward14) The total health expenditure per capita is modeled by H(1) 67e00 where f is the number of years. The predicted health expenditures (in dollar) after 13 years isarrow_forward
- 1. A truck that delivers essentials in remote areas can travel 85 kilometers. Which of the following expresses the velocity v as a function of travel time t in hours? belisa b. v(t)=t/85 d. t(v)=v/85 a. v(t)=85/t Dede e c. t(v)=85/v gola b x2-162 EL 2. How will you classify y = %3D x+4 belle a. Rational Equation b. Rational Inequality Insibaup. c. Rational Function d. Rational Expression nithw 3. Which of the following is considered rational inequality? 6 baliso nois b. y=x+15/3 tsbl d. x+2=x+5/4 191201 a. V5<5 c. 822x+15/14 -1923arrow_forward15. If the points (2, 3), (-1, 0), and (-4, -1) are on the function f(x) = a*, what points would be found on the function g(x) = loga x?arrow_forward8. The rate of electric vehicle purchases in the US from 2012 to 2024 can be modeled using the following a. equation, where V(t) is measured in vehicles per year, and t is in years since 2012 (e.g. t = 0 in year 2012): = 3600t² + 11,000t + 59,300 V(t) How many more EVs were purchased in 2023 than in 2022? Report 3 significant figures. more EVs b. Determine the rate at which the number of electric vehicles being purchased each year is changing in the year 2024. Report 3 significant figures with appropriate units. 5arrow_forward
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