Elon is purchasing materials for a gardening project. Mulch costs $33 per cubic yard. Edge material costs $60 for 5 yards. Elon needs 60 yards worth of edge material. Let v be the volume, in cubic yards, of mulch that Elon buys; and let c be the total cost, in dollars, of his purchase. Which of the following equations correctly relates v and c ? Choose 1 answer: (A) 33 v+720=c (B) 33 v+1,980=c (C) 33 v+3,600=c (D) 33 v+18,000=c

Question

Elon is purchasing materials for a gardening project. Mulch costs  $33 per cubic yard. Edge material costs  $60 for 5 yards. Elon needs 60 yards worth of edge material. Let  v be the volume, in cubic yards, of mulch that Elon buys; and let  c be the total cost, in dollars, of his purchase. Which of the following equations correctly relates  v and  c ? Choose 1 answer: (A)  33 v+720=c (B)  33 v+1,980=c (C)  33 v+3,600=c (D)  33 v+18,000=c

Bytelearn · Accepted Answer

Calculate Total Edge Cost: First, calculate the total cost of the edge material needed by Elon. He needs 60 yards of edge material, and the cost is $60 for every 5 yards. Find Total Cost: To find the total cost for the edge material, divide the total yards needed by the yards per price unit, which is 60 yards / 5 yards = 12 units. Then, multiply the number of units by the cost per unit, which is 12 units * $60 = $720. Calculate Mulch Cost: Now, we know the cost for the edge material is $720. The cost for mulch is $33 per cubic yard, represented as 33v, where v is the volume of mulch in cubic yards. Add Edge and Mulch Costs: Add the cost of the edge material to the cost of the mulch to get the total cost, c. This gives us the equation 33v + 720 = c.

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