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- First, calculate $ f(4) = 3(4)^2 + 2(4) + 1 = 48 + 8 + 1 = 57 $.
- Then calculate $ f(1) = 3(1)^2 + 2(1) + 1 = 3 + 2 + 1 = 6 $.
- The total growth from week 1 to week 4 is $ 57 - 6 = 51 $.
- A science administrator is reviewing grant proposals. If a total of 120 proposals are submitted and 30% are funded, how many proposals receive funding?
- Calculate 30% of 120: $ 0.30 \times 120 = 36 $.
- A plant biologist modifies a plant species to grow 25% faster than its natural counterpart. If the natural growth rate is modeled by $ g(t) = 4t $ (in cm per week), what is the growth rate of the modified plant?
