A florist orders exactly 31 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
Q. A florist orders exactly 31 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
Determine cost of bushels: Determine the cost of b bushels of flowers.The cost of one bushel of flowers is $1.20. Therefore, the cost for b bushels is 1.20×b dollars.
Determine amount of water needed: Determine the amount of nutrient-rich water needed for b bushels of flowers.The florist orders 31 gallons of water per bushel. Therefore, for b bushels, the florist needs 31×b gallons of water.
Determine cost of water: Determine the cost of the nutrient-rich water for b bushels of flowers.The cost of one gallon of nutrient-rich water is $0.60. Therefore, the cost for 31×b gallons is 0.60×31×b dollars.
Calculate total cost: Calculate the total cost for b bushels of flowers and the nutrient-rich water.The total cost C(b) is the sum of the cost of the flowers and the cost of the water.C(b)=(cost of b bushels of flowers)+(cost of water for b bushels)C(b)=(1.20×b)+(0.60×31×b)
Simplify equation for total cost: Simplify the equation for the total cost.C(b)=(1.20×b)+(0.60×31×b)C(b)=1.20b+0.20bC(b)=(1.20+0.20)bC(b)=1.40b
Match simplified equation with choices: Match the simplified equation with the given choices.The correct equation is C(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 5.
More problems from Compare linear, exponential, and quadratic growth