Video Transcript
A company produces greeting cards
with an initial cost of 2,000 Egyptian pounds and an extra cost of half an Egyptian
pound per card. The total cost is given by 𝐶 is
equal to a half 𝑥 plus 2,000, where 𝑥 is the number of produced cards. Find the total cost of producing
15,000 cards.
In this question, we are given a
formula for the total cost. 𝐶 is equal to a half 𝑥 plus
2,000. As 𝑥 is the number of cards
produced, we can substitute any value of 𝑥 into the formula to calculate the total
cost. In this question, we are told that
𝑥 is equal to 15,000. Substituting in this value gives us
𝐶 is equal to a half multiplied by 15,000 plus 2,000. One-half multiplied by 15 or a half
of 15 is 7.5. This means that a half multiplied
by 15,000 is 7,500. 𝐶 is equal to 7,500 plus
2,000. This is equal to 9,500. The total cost of producing 15,000
cards is 9,500 Egyptian pounds.
