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) 33v+720=c(B) 33v+1,980=c(C) 33v+3,600=c(D) 33v+18,000=c
Q. 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) 33v+720=c(B) 33v+1,980=c(C) 33v+3,600=c(D) 33v+18,000=c
Calculate total cost: Calculate the total cost of edge material.Elon needs 60 yards of edge material, and the cost of edge material is $60 for 5 yards. To find the total cost for 60 yards, we need to determine how many sets of 5 yards are in 60 yards and then multiply by the cost per set.5 yards per set60 yards=12 setsNow, multiply the number of sets by the cost per set:12 sets×$60 per set=$720
Write equation for cost: Write the equation relating the volume of mulch v and the total cost c. We know the cost of mulch is $33 per cubic yard, so the cost for v cubic yards of mulch is 33v dollars. We also know the total cost of edge material is $720. Therefore, the total cost c is the sum of the cost of mulch and the cost of edge material. So, the equation is: c=33v+$720
Match equation with choices: Match the equation from Step 2 with the given choices.The equation we found is c=33v+($)720, which matches choice (A).
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