A department store is running a promotion. As you enter the store, you are
given a scratch-off card with 25 spots from which to choose. At the
register, you will scratch off one spot and get that amount of money off
any purchase over $30. On the card, there are eight $1-off spots, five $5-
off spots, three $10-off spots, one $20-off spot and one $30-off spot. Use
the table below to help determine the expected value/fair price. Explain
the steps you took to get your answer.
at

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)