Question

You are designing a sticker to advertise your band. A company charges $225 for the first 1000 stickers and $80 for each additional 1000 stickers. Write an equation that represents the total cost (in dollars) of the stickers as a function of the number (in thousands) of stickers ordered.

A. C(x) = 225 + 80x
B. C(x) = 80 + 225x
C. C(x) = 225x + 80
D. C(x) = 80x + 225

Answer 1

To represent the total cost of the stickers as a function of the number of stickers ordered, use the equation C(x) = 225 + 80x - 80 for x > 1.

Step-by-step explanation:

To write an equation that represents the total cost of the stickers as a function of the number of stickers ordered, we need to consider the cost for the first 1000 stickers and the cost for each additional 1000 stickers.

Let x be the number (in thousands) of stickers ordered.

If x is less than or equal to 1 (i.e., x ≤ 1), the total cost is $225. This accounts for the first 1000 stickers which cost $225.

If x is greater than 1 (i.e., x > 1), the cost per additional 1000 stickers is $80. So, for each additional 1000 stickers, the cost increases by $80 * (x-1).

Therefore, the equation that represents the total cost (in dollars) of the stickers as a function of the number (in thousands) of stickers ordered is C(x) = 225 + 80(x-1), which simplifies to C(x) = 225 + 80x - 80.

The correct answer is option D. C(x) = 80x + 225.