Question 1185383: The design costs of an advertisement in a glossy magazine are £9000 and the cost per cm2 of print is
£50.
a. Write an expression for the total cost of publishing an advert which covers x cm2
b. The advertising budget is between £10,800 and £12,500. Write down and solve an inequality to
work out the minimum and maximum area that could be used.
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! **a.** Let 'C' be the total cost and 'x' be the area in cm². The expression for the total cost is:
C = 9000 + 50x
**b.** The advertising budget is between £10,800 and £12,500. So, the inequality is:
10800 ≤ C ≤ 12500
Substitute the expression for C:
10800 ≤ 9000 + 50x ≤ 12500
Subtract 9000 from all parts of the inequality:
10800 - 9000 ≤ 50x ≤ 12500 - 9000
1800 ≤ 50x ≤ 3500
Divide all parts by 50:
1800/50 ≤ x ≤ 3500/50
36 ≤ x ≤ 70
Therefore, the minimum area that could be used is 36 cm², and the maximum area is 70 cm².
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