Roy weighs 150 pounds and plans to lose 1.5 pounds a week. Luis weighs 200 pounds and plans to lose 2.5 pounds a week. Which equation shows when Roy and Luis will weigh the same? Use w for the number of weeks.
a 150 + 1.5w = 200 + 2.5w
b 350 = -4w
c 150w - 1.5 = 200w - 2.5
d 150 - 1.5w = 200 - 2.5w

d 150 - 1.5w = 200 - 2.5w

Step-by-step explanation:

To write an expression for this problem, we call:

= number of weeks

Roy weighs 150 pounds at the beginning, and he plans to lose 1.5 pounds per week; this means that his weight after w weeks is

Luis weighs 200 pounds at the beginning, and his weight decreases by 2.5 pounds per week, so the expression for his weight after w weeks is

Roy and Luis have the same weight when

Therefore,

Which is option D.

c. 18 cm²