Question

10. An artist can sell each drawing for $100 and each watercolor for $400. He hopes to make at least $2000 every month. a. Write an inequality that expresses how many drawings and/or watercolors the artist needs to sell each month to reach his goal. b. Graph the inequality. c. If the artist sells three watercolors one month, how many drawings would he have to sell in the same month to reach $2000?

Answer 1

a. 100x + 400y ≥ 2000

b. Graph linked

c. 8 drawings

Step-by-step explanation:

a. $100 * x (amount for drawing) + $400 * y (amount for watercolor) ≥ (must be greater than or equal to) $2000 (the minimum amount of money for each month)

b. Shows the amount needed of each thing in order to have $2000 or greater

c. 100x + 400(3) = 2000

100x + 1200 = 2000

100x = 800

x = 8