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A florist orders exactly 
(1)/(3) gallons of nutrient-rich water for each bushel of flowers he buys. The florist buys bushels of flowers at 
$1.20 per bushel and gallons of nutrient-rich water at 
$0.60 per gallon. Which of the following equations gives the total cost, 
C(b), in dollars, for 
b bushels of flowers and the nutrientrich water ordered for them?
Choose 1 answer:
(A) 
C(b)=(1.2+0.2)*b
(B) 
C(b)=3*0.6*b
(c) 
C(b)=(1.2+0.6)*b
(D) 
C(b)=7*0.6*b

A florist orders exactly 13 \frac{1}{3} gallons of nutrient-rich water for each bushel of flowers he buys. The florist buys bushels of flowers at $1.20 \$ 1.20 per bushel and gallons of nutrient-rich water at $0.60 \$ 0.60 per gallon. Which of the following equations gives the total cost, C(b) C(b) , in dollars, for b b bushels of flowers and the nutrientrich water ordered for them?\newlineChoose 11 answer:\newline(A) C(b)=(1.2+0.2)b C(b)=(1.2+0.2) \cdot b \newline(B) C(b)=30.6b C(b)=3 \cdot 0.6 \cdot b \newline(C) C(b)=(1.2+0.6)b C(b)=(1.2+0.6) \cdot b \newline(D) C(b)=70.6b C(b)=7 \cdot 0.6 \cdot b

Full solution

Q. A florist orders exactly 13 \frac{1}{3} gallons of nutrient-rich water for each bushel of flowers he buys. The florist buys bushels of flowers at $1.20 \$ 1.20 per bushel and gallons of nutrient-rich water at $0.60 \$ 0.60 per gallon. Which of the following equations gives the total cost, C(b) C(b) , in dollars, for b b bushels of flowers and the nutrientrich water ordered for them?\newlineChoose 11 answer:\newline(A) C(b)=(1.2+0.2)b C(b)=(1.2+0.2) \cdot b \newline(B) C(b)=30.6b C(b)=3 \cdot 0.6 \cdot b \newline(C) C(b)=(1.2+0.6)b C(b)=(1.2+0.6) \cdot b \newline(D) C(b)=70.6b C(b)=7 \cdot 0.6 \cdot b
  1. Determine cost of bushels: Determine the cost of bb bushels of flowers.\newlineThe cost of one bushel of flowers is $1.20\$1.20. Therefore, the cost for bb bushels is 1.20×b1.20 \times b dollars.
  2. Determine amount of water needed: Determine the amount of nutrient-rich water needed for bb bushels of flowers.\newlineThe florist orders 13\frac{1}{3} gallons of water per bushel. Therefore, for bb bushels, the florist needs 13×b\frac{1}{3} \times b gallons of water.
  3. Determine cost of water: Determine the cost of the nutrient-rich water for bb bushels of flowers.\newlineThe cost of one gallon of nutrient-rich water is $0.60\$0.60. Therefore, the cost for 13×b\frac{1}{3} \times b gallons is 0.60×13×b0.60 \times \frac{1}{3} \times b dollars.
  4. Calculate total cost: Calculate the total cost for bb bushels of flowers and the nutrient-rich water.\newlineThe total cost C(b)C(b) is the sum of the cost of the flowers and the cost of the water.\newlineC(b)=(cost of b bushels of flowers)+(cost of water for b bushels)C(b) = (\text{cost of } b \text{ bushels of flowers}) + (\text{cost of water for } b \text{ bushels})\newlineC(b)=(1.20×b)+(0.60×13×b)C(b) = (1.20 \times b) + (0.60 \times \frac{1}{3} \times b)
  5. Simplify equation for total cost: Simplify the equation for the total cost.\newlineC(b)=(1.20×b)+(0.60×13×b)C(b) = (1.20 \times b) + (0.60 \times \frac{1}{3} \times b)\newlineC(b)=1.20b+0.20bC(b) = 1.20b + 0.20b\newlineC(b)=(1.20+0.20)bC(b) = (1.20 + 0.20)b\newlineC(b)=1.40bC(b) = 1.40b
  6. Match simplified equation with choices: Match the simplified equation with the given choices.\newlineThe correct equation is C(b)=1.40bC(b) = 1.40b, which is not listed in the choices provided. There seems to be a mistake in the simplification process. Let's re-evaluate the calculation in Step 55.

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