Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

C=1,500 n+1,000
The cost, 
C, in dollars, to ship 
n cars from Europe to the United States is given in the equation. What is the difference, in cost, to ship 7 cars versus 6 cars?
Choose 1 answer:
(A) 
$500
(B) 
$1,000
(c) 
$1,500
(D) 
$2,500

C=1,500n+1,000 C=1,500 n+1,000 \newlineThe cost, C C , in dollars, to ship n n cars from Europe to the United States is given in the equation. What is the difference, in cost, to ship 77 cars versus 66 cars?\newlineChoose 11 answer:\newline(A) $500 \$ 500 \newline(B) $1,000 \$ 1,000 \newline(C) $1,500 \$ 1,500 \newline(D) $2,500 \$ 2,500

Full solution

Q. C=1,500n+1,000 C=1,500 n+1,000 \newlineThe cost, C C , in dollars, to ship n n cars from Europe to the United States is given in the equation. What is the difference, in cost, to ship 77 cars versus 66 cars?\newlineChoose 11 answer:\newline(A) $500 \$ 500 \newline(B) $1,000 \$ 1,000 \newline(C) $1,500 \$ 1,500 \newline(D) $2,500 \$ 2,500
  1. Cost equation: We have the cost equation C=1,500n+1,000 C = 1,500n + 1,000 , where C C is the cost in dollars to ship n n cars.\newlineFirst, let's calculate the cost to ship 7 7 cars.\newlineC C for 7 7 cars = 1,500(7)+1,000 1,500(7) + 1,000
  2. Calculate cost for 77 cars: Perform the calculation for 77 cars.\newlineC C for 7 7 cars = 1,500×7+1,000 1,500 \times 7 + 1,000 \newlineC C for 7 7 cars = 10,500+1,000 10,500 + 1,000 \newlineC C for 7 7 cars = 11,500 11,500
  3. Perform calculation for 77 cars: Now, let's calculate the cost to ship 66 cars.C for inlinelatex1 cars =inlinelatex3+inlinelatex4C \text{ for } inline_latex_1 \text{ cars } = inline_latex_3 + inline_latex_4
  4. Calculate cost for 66 cars: Perform the calculation for 66 cars.\newlineC for 66 cars = 1,500×6+1,0001,500 \times 6 + 1,000\newlineC for 66 cars = 9,000+1,0009,000 + 1,000\newlineC for 66 cars = 10,00010,000
  5. Perform calculation for 66 cars: To find the difference in cost, subtract the cost to ship 66 cars from the cost to ship 77 cars.\newlineDifference = CC for 77 cars - CC for 66 cars\newlineDifference = 11,50011,500 - 10,00010,000
  6. Find difference in cost: Perform the subtraction to find the difference.\newlineDifference = 11,50010,00011,500 - 10,000\newlineDifference = 1,5001,500

More problems from Solve a system of equations using substitution: word problems